39138347600334 has 64 divisors (see below), whose sum is σ = 87344914567680. Its totient is φ = 12990506855040.

The previous prime is 39138347600311. The next prime is 39138347600347. The reversal of 39138347600334 is 43300674383193.

39138347600334 is a `hidden beast` number, since 3 + 9 + 138 + 3 + 476 + 0 + 0 + 3 + 34 = 666.

39138347600334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117519319 + ... + 117851885.

It is an arithmetic number, because the mean of its divisors is an integer number (1364764290120).

Almost surely, 2^{39138347600334} is an apocalyptic number.

39138347600334 is an abundant number, since it is smaller than the sum of its proper divisors (48206566967346).

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

39138347600334 is a wasteful number, since it uses less digits than its factorization.

39138347600334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341862 (or 341856 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 39138347600334 in words is "thirty-nine trillion, one hundred thirty-eight billion, three hundred forty-seven million, six hundred thousand, three hundred thirty-four".