3902964000 has 384 divisors, whose sum is σ = 13948526592. Its totient is φ = 948326400.

The previous prime is 3902963971. The next prime is 3902964007. The reversal of 3902964000 is 4692093.

It is not an unprimeable number, because it can be changed into a prime (3902964007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19811902 + ... + 19812098.

It is an arithmetic number, because the mean of its divisors is an integer number (36324288).

Almost surely, 2^3902964000 is an apocalyptic number.

3902964000 is a gapful number since it is divisible by the number (30) 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 3902964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6974263296).

3902964000 is an abundant number, since it is smaller than the sum of its proper divisors (10045562592).

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

3902964000 is a wasteful number, since it uses less digits than its factorization.

3902964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 3902964000 is about 62473.7064692019. The cubic root of 3902964000 is about 1574.4595777532.

The spelling of 3902964000 in words is "three billion, nine hundred two million, nine hundred sixty-four thousand".