342177107364 has 144 divisors (see below), whose sum is σ = 894181736448. Its totient is φ = 110263011264.

The previous prime is 342177107347. The next prime is 342177107383. The reversal of 342177107364 is 463701771243.

It is a happy number.

342177107364 is a `hidden beast` number, since 3 + 4 + 217 + 71 + 0 + 7 + 364 = 666.

It is a super-3 number, since 3×342177107364³ (a number of 36 digits) contains 333 as substring.

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, 91808469 + ... + 91812195.

It is an arithmetic number, because the mean of its divisors is an integer number (6209595392).

Almost surely, 2^342177107364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342177107364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447090868224).

342177107364 is an abundant number, since it is smaller than the sum of its proper divisors (552004629084).

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

342177107364 is a wasteful number, since it uses less digits than its factorization.

342177107364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 342177107364 in words is "three hundred forty-two billion, one hundred seventy-seven million, one hundred seven thousand, three hundred sixty-four".