3139997332320 has 288 divisors, whose sum is σ = 11158163190720. Its totient is φ = 803103436800.

The previous prime is 3139997332247. The next prime is 3139997332357. The reversal of 3139997332320 is 232337999313.

3139997332320 is a `hidden beast` number, since 3 + 139 + 99 + 73 + 32 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6056782 + ... + 6554738.

It is an arithmetic number, because the mean of its divisors is an integer number (38743622190).

Almost surely, 2^{3139997332320} is an apocalyptic number.

3139997332320 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 3139997332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579081595360).

3139997332320 is an abundant number, since it is smaller than the sum of its proper divisors (8018165858400).

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

3139997332320 is a wasteful number, since it uses less digits than its factorization.

3139997332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498158 (or 498147 counting only the distinct ones).

The product of its (nonzero) digits is 4960116, while the sum is 54.

The spelling of 3139997332320 in words is "three trillion, one hundred thirty-nine billion, nine hundred ninety-seven million, three hundred thirty-two thousand, three hundred twenty".