329734350625 has 45 divisors (see below), whose sum is σ = 417949407909. Its totient is φ = 260055018000.

The previous prime is 329734350619. The next prime is 329734350653. The reversal of 329734350625 is 526053437923.

The square root of 329734350625 is 574225.

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

It can be written as a sum of positive squares in 2 ways, for example, as 25851173089 + 303883177536 = 160783^2 + 551256^2 .

It is not a de Polignac number, because 329734350625 - 2¹¹ = 329734348577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1478629264 + ... + 1478629486.

Almost surely, 2^329734350625 is an apocalyptic number.

329734350625 is the 574225-th square number.

329734350625 is the 287113-rd centered octagonal number.

It is an amenable number.

329734350625 is a deficient number, since it is larger than the sum of its proper divisors (88215057284).

329734350625 is an frugal number, since it uses more digits than its factorization.

329734350625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 49.

Multiplying 329734350625 by its sum of digits (49), we get a square (16156983180625 = 4019575²).

The spelling of 329734350625 in words is "three hundred twenty-nine billion, seven hundred thirty-four million, three hundred fifty thousand, six hundred twenty-five".