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3721411872 = 253247614507
BaseRepresentation
bin1101110111010000…
…0011110100100000
3100121100111022101100
43131310003310200
530110140134442
61413134434400
7161135323203
oct33564036440
910540438340
103721411872
11163a704902
1287a362a00
13473cac879
1427435593a
1516ba9584c
hexddd03d20

3721411872 has 144 divisors (see below), whose sum is σ = 10987546752. Its totient is φ = 1193909760.

The previous prime is 3721411871. The next prime is 3721411873. The reversal of 3721411872 is 2781141273.

It is an interprime number because it is at equal distance from previous prime (3721411871) and next prime (3721411873).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (3721411871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 823443 + ... + 827949.

It is an arithmetic number, because the mean of its divisors is an integer number (76302408).

Almost surely, 23721411872 is an apocalyptic number.

3721411872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3721411872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493773376).

3721411872 is an abundant number, since it is smaller than the sum of its proper divisors (7266134880).

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

3721411872 is a wasteful number, since it uses less digits than its factorization.

3721411872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631 (or 4620 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 3721411872 is about 61003.3759065841. The cubic root of 3721411872 is about 1549.6581794975.

The spelling of 3721411872 in words is "three billion, seven hundred twenty-one million, four hundred eleven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 61 72 94 96 122 141 144 183 188 244 282 288 366 376 423 488 549 564 732 752 846 976 1098 1128 1464 1504 1692 1952 2196 2256 2867 2928 3384 4392 4507 4512 5734 5856 6768 8601 8784 9014 11468 13521 13536 17202 17568 18028 22936 25803 27042 34404 36056 40563 45872 51606 54084 68808 72112 81126 91744 103212 108168 137616 144224 162252 206424 211829 216336 274927 275232 324504 412848 423658 432672 549854 635487 649008 824781 825696 847316 1099708 1270974 1298016 1649562 1694632 1906461 2199416 2474343 2541948 3299124 3389264 3812922 4398832 4948686 5083896 6598248 6778528 7625844 8797664 9897372 10167792 12921569 13196496 15251688 19794744 20335584 25843138 26392992 30503376 38764707 39589488 51686276 61006752 77529414 79178976 103372552 116294121 155058828 206745104 232588242 310117656 413490208 465176484 620235312 930352968 1240470624 1860705936 3721411872