34012624032 has 96 divisors (see below), whose sum is σ = 99283584960. Its totient is φ = 11328387840.

The previous prime is 34012624021. The next prime is 34012624057. The reversal of 34012624032 is 23042621043.

34012624032 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 2 + 624 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34012623987 and 34012624005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1100178 + ... + 1130670.

It is an arithmetic number, because the mean of its divisors is an integer number (1034204010).

Almost surely, 2^34012624032 is an apocalyptic number.

34012624032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34012624032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49641792480).

34012624032 is an abundant number, since it is smaller than the sum of its proper divisors (65270960928).

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

34012624032 is a wasteful number, since it uses less digits than its factorization.

34012624032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31803 (or 31789 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 34012624032 in words is "thirty-four billion, twelve million, six hundred twenty-four thousand, thirty-two".