329697400320 has 120 divisors (see below), whose sum is σ = 1141834904496. Its totient is φ = 87919300608.

The previous prime is 329697400303. The next prime is 329697400327. The reversal of 329697400320 is 23004796923.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×329697400320² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329697400327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7131852 + ... + 7177931.

Almost surely, 2^329697400320 is an apocalyptic number.

329697400320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

329697400320 is an abundant number, since it is smaller than the sum of its proper divisors (812137504176).

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

329697400320 is a wasteful number, since it uses less digits than its factorization.

329697400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14309812 (or 14309793 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 329697400320 in words is "three hundred twenty-nine billion, six hundred ninety-seven million, four hundred thousand, three hundred twenty".