329663040 has 112 divisors (see below), whose sum is σ = 1196230272. Its totient is φ = 75350016.

The previous prime is 329663027. The next prime is 329663051. The reversal of 329663040 is 40366923.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 329662992 and 329663010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17809 + ... + 31248.

Almost surely, 2^329663040 is an apocalyptic number.

329663040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

329663040 is an abundant number, since it is smaller than the sum of its proper divisors (866567232).

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

329663040 is a wasteful number, since it uses less digits than its factorization.

329663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49084 (or 49074 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 329663040 is about 18156.6252370863. The cubic root of 329663040 is about 690.8070372223.

The spelling of 329663040 in words is "three hundred twenty-nine million, six hundred sixty-three thousand, forty".