3138965968320 has 1344 divisors, whose sum is σ = 14524461858816. Its totient is φ = 603195310080.

The previous prime is 3138965968277. The next prime is 3138965968343. The reversal of 3138965968320 is 238695698313.

3138965968320 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 9 + 6 + 596 + 8 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×3138965968320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 138104797 + ... + 138127523.

It is an arithmetic number, because the mean of its divisors is an integer number (10806891264).

Almost surely, 2^{3138965968320} is an apocalyptic number.

3138965968320 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 3138965968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7262230929408).

3138965968320 is an abundant number, since it is smaller than the sum of its proper divisors (11385495890496).

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

3138965968320 is a wasteful number, since it uses less digits than its factorization.

3138965968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22818 (or 22805 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 3138965968320 in words is "three trillion, one hundred thirty-eight billion, nine hundred sixty-five million, nine hundred sixty-eight thousand, three hundred twenty".