3990276576 has 432 divisors, whose sum is σ = 13920575760. Its totient is φ = 1073479680.

The previous prime is 3990276571. The next prime is 3990276593. The reversal of 3990276576 is 6756720993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3990276571) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15526240 + ... + 15526496.

It is an arithmetic number, because the mean of its divisors is an integer number (32223555).

Almost surely, 2^3990276576 is an apocalyptic number.

3990276576 is a gapful number since it is divisible by the number (36) 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 3990276576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6960287880).

3990276576 is an abundant number, since it is smaller than the sum of its proper divisors (9930299184).

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

3990276576 is a wasteful number, since it uses less digits than its factorization.

3990276576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The square root of 3990276576 is about 63168.6360150352. The cubic root of 3990276576 is about 1586.1137605402.

The spelling of 3990276576 in words is "three billion, nine hundred ninety million, two hundred seventy-six thousand, five hundred seventy-six".