34032826432 has 56 divisors (see below), whose sum is σ = 73774962432. Its totient is φ = 15448128000.

The previous prime is 34032826427. The next prime is 34032826433. The reversal of 34032826432 is 23462823043.

It is a junction number, because it is equal to n+sod(n) for n = 34032826391 and 34032826400.

It is not an unprimeable number, because it can be changed into a prime (34032826433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 483057 + ... + 549007.

Almost surely, 2^34032826432 is an apocalyptic number.

34032826432 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 34032826432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36887481216).

34032826432 is an abundant number, since it is smaller than the sum of its proper divisors (39742136000).

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

34032826432 is a wasteful number, since it uses less digits than its factorization.

34032826432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66707 (or 66697 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

The spelling of 34032826432 in words is "thirty-four billion, thirty-two million, eight hundred twenty-six thousand, four hundred thirty-two".