34108375392 has 288 divisors, whose sum is σ = 120619017792. Its totient is φ = 8902213632.

The previous prime is 34108375381. The next prime is 34108375393. The reversal of 34108375392 is 29357380143.

34108375392 is a `hidden beast` number, since 3 + 4 + 108 + 3 + 7 + 539 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34108375393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2535468 + ... + 2548884.

It is an arithmetic number, because the mean of its divisors is an integer number (418816034).

Almost surely, 2^34108375392 is an apocalyptic number.

34108375392 is a gapful number since it is divisible by the number (32) 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 34108375392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60309508896).

34108375392 is an abundant number, since it is smaller than the sum of its proper divisors (86510642400).

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

34108375392 is a wasteful number, since it uses less digits than its factorization.

34108375392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13550 (or 13539 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 34108375392 in words is "thirty-four billion, one hundred eight million, three hundred seventy-five thousand, three hundred ninety-two".