34132932001 has 9 divisors (see below), whose sum is σ = 39707160051. Its totient is φ = 29255690352.

The previous prime is 34132931969. The next prime is 34132932079. The reversal of 34132932001 is 10023923143.

The square root of 34132932001 is 184751.

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

It can be written as a sum of positive squares in only one way, i.e., 14860829025 + 19272102976 = 121905^2 + 138824^2 .

It is not a de Polignac number, because 34132932001 - 2⁵ = 34132931969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34132932601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1280061 + ... + 1306453.

Almost surely, 2^34132932001 is an apocalyptic number.

34132932001 is the 184751-st square number.

34132932001 is the 92376-th centered octagonal number.

It is an amenable number.

34132932001 is a deficient number, since it is larger than the sum of its proper divisors (5574228050).

34132932001 is an frugal number, since it uses more digits than its factorization.

34132932001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52800 (or 26400 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 34132932001 in words is "thirty-four billion, one hundred thirty-two million, nine hundred thirty-two thousand, one".