3990762504960 has 2304 divisors, whose sum is σ = 17480450211840. Its totient is φ = 751034695680.

The previous prime is 3990762504947. The next prime is 3990762505001. The reversal of 3990762504960 is 694052670993.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×3990762504960² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) 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 (60).

It is a junction number, because it is equal to n+sod(n) for n = 3990762504894 and 3990762504903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15174001789 + ... + 15174002051.

It is an arithmetic number, because the mean of its divisors is an integer number (7587000960).

Almost surely, 2^{3990762504960} is an apocalyptic number.

3990762504960 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 3990762504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8740225105920).

3990762504960 is an abundant number, since it is smaller than the sum of its proper divisors (13489687706880).

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

3990762504960 is a wasteful number, since it uses less digits than its factorization.

3990762504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 60.

The spelling of 3990762504960 in words is "three trillion, nine hundred ninety billion, seven hundred sixty-two million, five hundred four thousand, nine hundred sixty".