3920962400 has 72 divisors (see below), whose sum is σ = 9902178720. Its totient is φ = 1514293760.

The previous prime is 3920962387. The next prime is 3920962411. The reversal of 3920962400 is 42690293.

It is a super-2 number, since 2×3920962400² = 30747892284427520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61304 + ... + 107703.

It is an arithmetic number, because the mean of its divisors is an integer number (137530260).

Almost surely, 2^3920962400 is an apocalyptic number.

It is an amenable number.

3920962400 is an abundant number, since it is smaller than the sum of its proper divisors (5981216320).

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

3920962400 is a wasteful number, since it uses less digits than its factorization.

3920962400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169056 (or 169043 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 3920962400 is about 62617.5885834004. The cubic root of 3920962400 is about 1576.8760578912.

The spelling of 3920962400 in words is "three billion, nine hundred twenty million, nine hundred sixty-two thousand, four hundred".