344113054038 has 96 divisors (see below), whose sum is σ = 849047576832. Its totient is φ = 99966182400.

The previous prime is 344113053971. The next prime is 344113054067. The reversal of 344113054038 is 830450311443.

344113054038 is a `hidden beast` number, since 3 + 44 + 11 + 30 + 540 + 38 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 344113053993 and 344113054011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281095 + ... + 875922.

It is an arithmetic number, because the mean of its divisors is an integer number (8844245592).

Almost surely, 2^344113054038 is an apocalyptic number.

344113054038 is an abundant number, since it is smaller than the sum of its proper divisors (504934522794).

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

344113054038 is a wasteful number, since it uses less digits than its factorization.

344113054038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157110 (or 1157107 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 344113054038 in words is "three hundred forty-four billion, one hundred thirteen million, fifty-four thousand, thirty-eight".