3956834304 has 96 divisors (see below), whose sum is σ = 11431532190. Its totient is φ = 1318846464.

The previous prime is 3956834293. The next prime is 3956834311. The reversal of 3956834304 is 4034386593.

It can be written as a sum of positive squares in only one way, i.e., 3542630400 + 414203904 = 59520^2 + 20352^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3956834304² = 31313075418622328832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3956834304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 288204 + ... + 301620.

Almost surely, 2^3956834304 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 3956834304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715766095).

3956834304 is an abundant number, since it is smaller than the sum of its proper divisors (7474697886).

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

3956834304 is an equidigital number, since it uses as much as digits as its factorization.

3956834304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13453 (or 13422 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 3956834304 is about 62903.3727553619. The cubic root of 3956834304 is about 1581.6702819380.

The spelling of 3956834304 in words is "three billion, nine hundred fifty-six million, eight hundred thirty-four thousand, three hundred four".