34129424916 has 36 divisors (see below), whose sum is σ = 87077888352. Its totient is φ = 11270151504.

The previous prime is 34129424881. The next prime is 34129424929. The reversal of 34129424916 is 61942492143.

34129424916 is a `hidden beast` number, since 34 + 129 + 4 + 2 + 491 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4426240 + ... + 4433943.

It is an arithmetic number, because the mean of its divisors is an integer number (2418830232).

Almost surely, 2^34129424916 is an apocalyptic number.

34129424916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34129424916 is an abundant number, since it is smaller than the sum of its proper divisors (52948463436).

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

34129424916 is a wasteful number, since it uses less digits than its factorization.

34129424916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8860300 (or 8860295 counting only the distinct ones).

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

The spelling of 34129424916 in words is "thirty-four billion, one hundred twenty-nine million, four hundred twenty-four thousand, nine hundred sixteen".