3900324960 has 672 divisors, whose sum is σ = 16777357632. Its totient is φ = 836075520.

The previous prime is 3900324949. The next prime is 3900324973. The reversal of 3900324960 is 694230093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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 111 ways as a sum of consecutive naturals, for example, 13880020 + ... + 13880300.

It is an arithmetic number, because the mean of its divisors is an integer number (24966306).

Almost surely, 2^3900324960 is an apocalyptic number.

3900324960 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 3900324960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388678816).

3900324960 is an abundant number, since it is smaller than the sum of its proper divisors (12877032672).

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

3900324960 is a wasteful number, since it uses less digits than its factorization.

3900324960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3900324960 is about 62452.5816920326. The cubic root of 3900324960 is about 1574.1046339502.

The spelling of 3900324960 in words is "three billion, nine hundred million, three hundred twenty-four thousand, nine hundred sixty".