34626450432 has 352 divisors, whose sum is σ = 110004797440. Its totient is φ = 9475522560.

The previous prime is 34626450379. The next prime is 34626450433. The reversal of 34626450432 is 23405462643.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34626450433) 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, 84661044 + ... + 84661452.

Almost surely, 2^34626450432 is an apocalyptic number.

34626450432 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 34626450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55002398720).

34626450432 is an abundant number, since it is smaller than the sum of its proper divisors (75378347008).

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

34626450432 is a wasteful number, since it uses less digits than its factorization.

34626450432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

The spelling of 34626450432 in words is "thirty-four billion, six hundred twenty-six million, four hundred fifty thousand, four hundred thirty-two".