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3721405644 = 223211711071237
BaseRepresentation
bin1101110111010000…
…0010010011001100
3100121100110222211200
43131310002103030
530110134440034
61413134345500
7161135266065
oct33564022314
910540428750
103721405644
11163a700160
1287a35b290
13473ca9a98
1427435356c
1516ba93a99
hexddd024cc

3721405644 has 144 divisors (see below), whose sum is σ = 10512343296. Its totient is φ = 1100534400.

The previous prime is 3721405643. The next prime is 3721405691. The reversal of 3721405644 is 4465041273.

3721405644 is a `hidden beast` number, since 3 + 7 + 2 + 1 + 4 + 0 + 5 + 644 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3721405599 and 3721405608.

It is not an unprimeable number, because it can be changed into a prime (3721405643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3007794 + ... + 3009030.

It is an arithmetic number, because the mean of its divisors is an integer number (73002384).

Almost surely, 23721405644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3721405644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256171648).

3721405644 is an abundant number, since it is smaller than the sum of its proper divisors (6790937652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3721405644 is a wasteful number, since it uses less digits than its factorization.

3721405644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3721405644 is about 61003.3248602074. The cubic root of 3721405644 is about 1549.6573150159.

The spelling of 3721405644 in words is "three billion, seven hundred twenty-one million, four hundred five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 107 132 142 198 213 214 284 321 396 426 428 639 642 781 852 963 1177 1237 1278 1284 1562 1926 2343 2354 2474 2556 3124 3531 3711 3852 4686 4708 4948 7029 7062 7422 7597 9372 10593 11133 13607 14058 14124 14844 15194 21186 22266 22791 27214 28116 30388 40821 42372 44532 45582 54428 68373 81642 83567 87827 91164 122463 132359 136746 163284 167134 175654 244926 250701 263481 264718 273492 334268 351308 397077 489852 501402 526962 529436 752103 790443 794154 966097 1002804 1053924 1191231 1455949 1504206 1580886 1588308 1932194 2382462 2898291 2911898 3008412 3161772 3864388 4367847 4764924 5796582 5823796 8694873 8735694 9397489 11593164 13103541 17389746 17471388 18794978 26207082 28192467 34779492 37589956 52414164 56384934 84577401 103372379 112769868 169154802 206744758 310117137 338309604 413489516 620234274 930351411 1240468548 1860702822 3721405644