3956864800 has 288 divisors, whose sum is σ = 11903238144. Its totient is φ = 1254528000.

The previous prime is 3956864783. The next prime is 3956864819. The reversal of 3956864800 is 84686593.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3992305 + ... + 3993295.

It is an arithmetic number, because the mean of its divisors is an integer number (41330688).

Almost surely, 2^3956864800 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 3956864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951619072).

3956864800 is an abundant number, since it is smaller than the sum of its proper divisors (7946373344).

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

3956864800 is a wasteful number, since it uses less digits than its factorization.

3956864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The square root of 3956864800 is about 62903.6151584311. The cubic root of 3956864800 is about 1581.6743453289.

The spelling of 3956864800 in words is "three billion, nine hundred fifty-six million, eight hundred sixty-four thousand, eight hundred".