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3745660336 = 2411181307383
BaseRepresentation
bin1101111101000010…
…0011110110110000
3100200001010021000121
43133100203312300
530132342112321
61415402300024
7161551405345
oct33720436660
910601107017
103745660336
111652367060
128864b7614
1347901c982
142776687cc
1516dc85441
hexdf423db0

3745660336 has 80 divisors (see below), whose sum is σ = 8007487488. Its totient is φ = 1683244800.

The previous prime is 3745660327. The next prime is 3745660339. The reversal of 3745660336 is 6330665473.

It is a junction number, because it is equal to n+sod(n) for n = 3745660292 and 3745660301.

It is not an unprimeable number, because it can be changed into a prime (3745660339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9779601 + ... + 9779983.

Almost surely, 23745660336 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 3745660336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003743744).

3745660336 is an abundant number, since it is smaller than the sum of its proper divisors (4261827152).

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

3745660336 is a wasteful number, since it uses less digits than its factorization.

3745660336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 43.

The square root of 3745660336 is about 61201.8001042453. The cubic root of 3745660336 is about 1553.0167174236.

The spelling of 3745660336 in words is "three billion, seven hundred forty-five million, six hundred sixty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 181 307 362 383 614 724 766 1228 1448 1532 1991 2456 2896 3064 3377 3982 4213 4912 6128 6754 7964 8426 13508 15928 16852 27016 31856 33704 54032 55567 67408 69323 111134 117581 138646 222268 235162 277292 444536 470324 554584 611237 762553 889072 940648 1109168 1222474 1293391 1525106 1881296 2444948 2586782 3050212 4889896 5173564 6100424 9779792 10347128 12200848 20694256 21282161 42564322 85128644 170257288 234103771 340514576 468207542 936415084 1872830168 3745660336