34442610432 has 72 divisors (see below), whose sum is σ = 91773891216. Its totient is φ = 11467554816.

The previous prime is 34442610383. The next prime is 34442610437. The reversal of 34442610432 is 23401624443.

It is a junction number, because it is equal to n+sod(n) for n = 34442610393 and 34442610402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34442610437) 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, 647968 + ... + 699104.

It is an arithmetic number, because the mean of its divisors is an integer number (1274637378).

Almost surely, 2^34442610432 is an apocalyptic number.

34442610432 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 34442610432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45886945608).

34442610432 is an abundant number, since it is smaller than the sum of its proper divisors (57331280784).

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

34442610432 is an equidigital number, since it uses as much as digits as its factorization.

34442610432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52033 (or 52019 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The spelling of 34442610432 in words is "thirty-four billion, four hundred forty-two million, six hundred ten thousand, four hundred thirty-two".