34511829408 has 120 divisors (see below), whose sum is σ = 115998154272. Its totient is φ = 9860517504.

The previous prime is 34511829397. The next prime is 34511829427. The reversal of 34511829408 is 80492811543.

34511829408 is a `hidden beast` number, since 345 + 1 + 18 + 294 + 0 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 932910 + ... + 969197.

Almost surely, 2^34511829408 is an apocalyptic number.

It is an amenable number.

34511829408 is an abundant number, since it is smaller than the sum of its proper divisors (81486324864).

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

34511829408 is a wasteful number, since it uses less digits than its factorization.

34511829408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902136 (or 1902119 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 34511829408 in words is "thirty-four billion, five hundred eleven million, eight hundred twenty-nine thousand, four hundred eight".