34117379604 has 192 divisors, whose sum is σ = 110392934400. Its totient is φ = 8852457600.

The previous prime is 34117379587. The next prime is 34117379629. The reversal of 34117379604 is 40697371143.

34117379604 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 7 + 37 + 9 + 604 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34117379604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12231442 + ... + 12234230.

It is an arithmetic number, because the mean of its divisors is an integer number (574963200).

Almost surely, 2^34117379604 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 34117379604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55196467200).

34117379604 is an abundant number, since it is smaller than the sum of its proper divisors (76275554796).

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

34117379604 is a wasteful number, since it uses less digits than its factorization.

34117379604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 34117379604 in words is "thirty-four billion, one hundred seventeen million, three hundred seventy-nine thousand, six hundred four".