34057746432 has 384 divisors, whose sum is σ = 107243136000. Its totient is φ = 10656645120.

The previous prime is 34057746427. The next prime is 34057746439. The reversal of 34057746432 is 23464775043.

34057746432 is a `hidden beast` number, since 3 + 4 + 0 + 577 + 46 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34057746439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77580069 + ... + 77580507.

It is an arithmetic number, because the mean of its divisors is an integer number (279279000).

Almost surely, 2^34057746432 is an apocalyptic number.

34057746432 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 34057746432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53621568000).

34057746432 is an abundant number, since it is smaller than the sum of its proper divisors (73185389568).

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

34057746432 is a wasteful number, since it uses less digits than its factorization.

34057746432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 34057746432 in words is "thirty-four billion, fifty-seven million, seven hundred forty-six thousand, four hundred thirty-two".