34734580416 has 84 divisors (see below), whose sum is σ = 102772081984. Its totient is φ = 11204697600.

The previous prime is 34734580403. The next prime is 34734580481. The reversal of 34734580416 is 61408543743.

34734580416 is a `hidden beast` number, since 34 + 7 + 34 + 580 + 4 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 954775 + ... + 990486.

Almost surely, 2^34734580416 is an apocalyptic number.

34734580416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34734580416 is an abundant number, since it is smaller than the sum of its proper divisors (68037501568).

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

34734580416 is a wasteful number, since it uses less digits than its factorization.

34734580416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945310 (or 1945297 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 34734580416 in words is "thirty-four billion, seven hundred thirty-four million, five hundred eighty thousand, four hundred sixteen".