329374938816 has 448 divisors, whose sum is σ = 1210232540160. Its totient is φ = 85339422720.

The previous prime is 329374938797. The next prime is 329374938829. The reversal of 329374938816 is 618839473923.

329374938816 is a `hidden beast` number, since 3 + 29 + 37 + 493 + 88 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×329374938816³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57610390 + ... + 57616106.

It is an arithmetic number, because the mean of its divisors is an integer number (2701411920).

Almost surely, 2^329374938816 is an apocalyptic number.

329374938816 is a gapful number since it is divisible by the number (36) 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 329374938816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605116270080).

329374938816 is an abundant number, since it is smaller than the sum of its proper divisors (880857601344).

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

329374938816 is a wasteful number, since it uses less digits than its factorization.

329374938816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6189 (or 6173 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 329374938816 in words is "three hundred twenty-nine billion, three hundred seventy-four million, nine hundred thirty-eight thousand, eight hundred sixteen".