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3739680882 = 2327234912149
BaseRepresentation
bin1101111011100111…
…0000000001110010
3100122121212110202100
43132321300001302
530124324242012
61415030201230
7161446522500
oct33671600162
910577773670
103739680882
111649a52663
128844b3216
13477a08132
1427694d670
1516d4a38dc
hexdee70072

3739680882 has 72 divisors (see below), whose sum is σ = 9453307500. Its totient is φ = 1065331008.

The previous prime is 3739680869. The next prime is 3739680887. The reversal of 3739680882 is 2880869373.

3739680882 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3029511681 + 710169201 = 55041^2 + 26649^2 .

It is not an unprimeable number, because it can be changed into a prime (3739680887) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 301744 + ... + 313892.

Almost surely, 23739680882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3739680882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4726653750).

3739680882 is an abundant number, since it is smaller than the sum of its proper divisors (5713626618).

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

3739680882 is a wasteful number, since it uses less digits than its factorization.

3739680882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12520 (or 12510 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 3739680882 is about 61152.9302813855. The cubic root of 3739680882 is about 1552.1898816571.

The spelling of 3739680882 in words is "three billion, seven hundred thirty-nine million, six hundred eighty thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 349 441 698 882 1047 2094 2443 3141 4886 6282 7329 12149 14658 17101 21987 24298 34202 36447 43974 51303 72894 85043 102606 109341 153909 170086 218682 255129 307818 510258 595301 765387 1190602 1530774 1785903 3571806 4240001 5357709 8480002 10715418 12720003 25440006 29680007 38160009 59360014 76320018 89040021 178080042 207760049 267120063 415520098 534240126 623280147 1246560294 1869840441 3739680882