3139356672 has 144 divisors (see below), whose sum is σ = 9126821340. Its totient is φ = 1039564800.

The previous prime is 3139356667. The next prime is 3139356683. The reversal of 3139356672 is 2766539313.

3139356672 is a `hidden beast` number, since 3 + 13 + 9 + 3 + 566 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2900468736 + 238887936 = 53856^2 + 15456^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3335722 + ... + 3336662.

Almost surely, 2^3139356672 is an apocalyptic number.

3139356672 is a gapful number since it is divisible by the number (32) 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 3139356672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563410670).

3139356672 is an abundant number, since it is smaller than the sum of its proper divisors (5987464668).

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

3139356672 is a wasteful number, since it uses less digits than its factorization.

3139356672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1127 counting only the distinct ones).

The product of its digits is 612360, while the sum is 45.

The square root of 3139356672 is about 56029.9622701997. The cubic root of 3139356672 is about 1464.2443379696.

The spelling of 3139356672 in words is "three billion, one hundred thirty-nine million, three hundred fifty-six thousand, six hundred seventy-two".