34635746304 has 264 divisors, whose sum is σ = 105864944640. Its totient is φ = 10876280832.

The previous prime is 34635746269. The next prime is 34635746311. The reversal of 34635746304 is 40364753643.

34635746304 is a `hidden beast` number, since 3 + 4 + 6 + 3 + 5 + 7 + 4 + 630 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34635746304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39047749 + ... + 39048635.

Almost surely, 2^34635746304 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 34635746304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52932472320).

34635746304 is an abundant number, since it is smaller than the sum of its proper divisors (71229198336).

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

34635746304 is a wasteful number, since it uses less digits than its factorization.

34635746304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 34635746304 in words is "thirty-four billion, six hundred thirty-five million, seven hundred forty-six thousand, three hundred four".