329114880 has 288 divisors, whose sum is σ = 1192060800. Its totient is φ = 85966848.

The previous prime is 329114857. The next prime is 329114893. The reversal of 329114880 is 88411923.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3075787 + ... + 3075893.

It is an arithmetic number, because the mean of its divisors is an integer number (4139100).

Almost surely, 2^329114880 is an apocalyptic number.

329114880 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 329114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596030400).

329114880 is an abundant number, since it is smaller than the sum of its proper divisors (862945920).

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

329114880 is a wasteful number, since it uses less digits than its factorization.

329114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 329114880 is about 18141.5236405325. The cubic root of 329114880 is about 690.4239360776.

The spelling of 329114880 in words is "three hundred twenty-nine million, one hundred fourteen thousand, eight hundred eighty".