34925481864 has 432 divisors, whose sum is σ = 125459895600. Its totient is φ = 8723490048.

The previous prime is 34925481847. The next prime is 34925481901. The reversal of 34925481864 is 46818452943.

34925481864 is a `hidden beast` number, since 3 + 4 + 92 + 548 + 1 + 8 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34925481864.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11326867 + ... + 11329949.

It is an arithmetic number, because the mean of its divisors is an integer number (290416425).

Almost surely, 2^34925481864 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 34925481864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62729947800).

34925481864 is an abundant number, since it is smaller than the sum of its proper divisors (90534413736).

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

34925481864 is a wasteful number, since it uses less digits than its factorization.

34925481864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154 (or 3127 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 34925481864 in words is "thirty-four billion, nine hundred twenty-five million, four hundred eighty-one thousand, eight hundred sixty-four".