34431029136 has 225 divisors, whose sum is σ = 114527915931. Its totient is φ = 9628129728.

The previous prime is 34431029123. The next prime is 34431029137. The reversal of 34431029136 is 63192013443.

The square root of 34431029136 is 185556.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34431029136.

It is not an unprimeable number, because it can be changed into a prime (34431029137) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 732575065 + ... + 732575111.

Almost surely, 2^34431029136 is an apocalyptic number.

34431029136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34431029136 is the 185556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34431029136

34431029136 is an abundant number, since it is smaller than the sum of its proper divisors (80096886795).

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

34431029136 is an frugal number, since it uses more digits than its factorization.

34431029136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Multiplying 34431029136 by its sum of digits (36), we get a square (1239517048896 = 1113336²).

34431029136 divided by its sum of digits (36) gives a square (956417476 = 30926²).

The spelling of 34431029136 in words is "thirty-four billion, four hundred thirty-one million, twenty-nine thousand, one hundred thirty-six".