329874876 has 48 divisors (see below), whose sum is σ = 858967200. Its totient is φ = 109478016.

The previous prime is 329874863. The next prime is 329874893. The reversal of 329874876 is 678478923.

329874876 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

329874876 is strictly pandigital in base 9.

It is a congruent number.

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, 18610 + ... + 31718.

It is an arithmetic number, because the mean of its divisors is an integer number (17895150).

Almost surely, 2^329874876 is an apocalyptic number.

329874876 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 329874876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429483600).

329874876 is an abundant number, since it is smaller than the sum of its proper divisors (529092324).

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

329874876 is a wasteful number, since it uses less digits than its factorization.

329874876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13355 (or 13347 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 329874876 is about 18162.4578733166. The cubic root of 329874876 is about 690.9549725868.

The spelling of 329874876 in words is "three hundred twenty-nine million, eight hundred seventy-four thousand, eight hundred seventy-six".