329713680 has 120 divisors (see below), whose sum is σ = 1047843648. Its totient is φ = 85763328.

The previous prime is 329713651. The next prime is 329713693. The reversal of 329713680 is 86317923.

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

It is a super-2 number, since 2×329713680² = 217422221558284800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443389 + ... + 444131.

Almost surely, 2^329713680 is an apocalyptic number.

329713680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329713680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523921824).

329713680 is an abundant number, since it is smaller than the sum of its proper divisors (718129968).

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

329713680 is a wasteful number, since it uses less digits than its factorization.

329713680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 329713680 is about 18158.0197158170. The cubic root of 329713680 is about 690.8424073559.

The spelling of 329713680 in words is "three hundred twenty-nine million, seven hundred thirteen thousand, six hundred eighty".