3980592000 has 768 divisors, whose sum is σ = 17872358400. Its totient is φ = 824832000.

The previous prime is 3980591987. The next prime is 3980592013. The reversal of 3980592000 is 2950893.

It is an interprime number because it is at equal distance from previous prime (3980591987) and next prime (3980592013).

It is a super-2 number, since 2×3980592000² = 31690225340928000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 11087821 + ... + 11088179.

It is an arithmetic number, because the mean of its divisors is an integer number (23271300).

Almost surely, 2^3980592000 is an apocalyptic number.

3980592000 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 3980592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8936179200).

3980592000 is an abundant number, since it is smaller than the sum of its proper divisors (13891766400).

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

3980592000 is a wasteful number, since it uses less digits than its factorization.

3980592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3980592000 is about 63091.9329233144. The cubic root of 3980592000 is about 1584.8295318330.

The spelling of 3980592000 in words is "three billion, nine hundred eighty million, five hundred ninety-two thousand".