34624431352 has 128 divisors (see below), whose sum is σ = 80967600000. Its totient is φ = 13825996800.

The previous prime is 34624431349. The next prime is 34624431383. The reversal of 34624431352 is 25313442643.

34624431352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4707774 + ... + 4715122.

It is an arithmetic number, because the mean of its divisors is an integer number (632559375).

Almost surely, 2^34624431352 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 34624431352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40483800000).

34624431352 is an abundant number, since it is smaller than the sum of its proper divisors (46343168648).

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

34624431352 is a wasteful number, since it uses less digits than its factorization.

34624431352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7494 (or 7476 counting only the distinct ones).

The product of its digits is 207360, while the sum is 37.

Adding to 34624431352 its reverse (25313442643), we get a palindrome (59937873995).

The spelling of 34624431352 in words is "thirty-four billion, six hundred twenty-four million, four hundred thirty-one thousand, three hundred fifty-two".