34125774032 has 120 divisors (see below), whose sum is σ = 79745020992. Its totient is φ = 14095603200.

The previous prime is 34125774031. The next prime is 34125774043. The reversal of 34125774032 is 23047752143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34125774031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2661557 + ... + 2674347.

Almost surely, 2^34125774032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34125774032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39872510496).

34125774032 is an abundant number, since it is smaller than the sum of its proper divisors (45619246960).

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

34125774032 is a wasteful number, since it uses less digits than its factorization.

34125774032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12937 (or 12924 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The spelling of 34125774032 in words is "thirty-four billion, one hundred twenty-five million, seven hundred seventy-four thousand, thirty-two".