3920964320 has 576 divisors, whose sum is σ = 12857273856. Its totient is φ = 1114767360.

The previous prime is 3920964277. The next prime is 3920964347. The reversal of 3920964320 is 234690293.

3920964320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3920964320² = 30747922397426124800, 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 95 ways as a sum of consecutive naturals, for example, 53711804 + ... + 53711876.

It is an arithmetic number, because the mean of its divisors is an integer number (22321656).

Almost surely, 2^3920964320 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 3920964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428636928).

3920964320 is an abundant number, since it is smaller than the sum of its proper divisors (8936309536).

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

3920964320 is a wasteful number, since it uses less digits than its factorization.

3920964320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 38.

The square root of 3920964320 is about 62617.6039145543. The cubic root of 3920964320 is about 1576.8763152771.

The spelling of 3920964320 in words is "three billion, nine hundred twenty million, nine hundred sixty-four thousand, three hundred twenty".