34186631904 has 576 divisors, whose sum is σ = 112275072000. Its totient is φ = 10189670400.

The previous prime is 34186631867. The next prime is 34186631917. The reversal of 34186631904 is 40913668143.

34186631904 is a `hidden beast` number, since 3 + 4 + 1 + 8 + 6 + 631 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34186631904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 338481454 + ... + 338481554.

It is an arithmetic number, because the mean of its divisors is an integer number (194922000).

Almost surely, 2^34186631904 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 34186631904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56137536000).

34186631904 is an abundant number, since it is smaller than the sum of its proper divisors (78088440096).

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

34186631904 is a wasteful number, since it uses less digits than its factorization.

34186631904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 34186631904 in words is "thirty-four billion, one hundred eighty-six million, six hundred thirty-one thousand, nine hundred four".