3139903388160 has 960 divisors, whose sum is σ = 14060004102144. Its totient is φ = 652437504000.

The previous prime is 3139903388137. The next prime is 3139903388179. The reversal of 3139903388160 is 618833099313.

3139903388160 is a `hidden beast` number, since 3 + 13 + 9 + 90 + 3 + 388 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3139903388097 and 3139903388106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47867385 + ... + 47932935.

Almost surely, 2^{3139903388160} is an apocalyptic number.

3139903388160 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 3139903388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030002051072).

3139903388160 is an abundant number, since it is smaller than the sum of its proper divisors (10920100713984).

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

3139903388160 is an equidigital number, since it uses as much as digits as its factorization.

3139903388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65607 (or 65579 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 3139903388160 in words is "three trillion, one hundred thirty-nine billion, nine hundred three million, three hundred eighty-eight thousand, one hundred sixty".