329705376 has 384 divisors, whose sum is σ = 1203019776. Its totient is φ = 76308480.

The previous prime is 329705353. The next prime is 329705399. The reversal of 329705376 is 673507923.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (329705353) and next prime (329705399).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4516476 + ... + 4516548.

It is an arithmetic number, because the mean of its divisors is an integer number (3132864).

Almost surely, 2^329705376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329705376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601509888).

329705376 is an abundant number, since it is smaller than the sum of its proper divisors (873314400).

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

329705376 is a wasteful number, since it uses less digits than its factorization.

329705376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 42.

The square root of 329705376 is about 18157.7910550816. The cubic root of 329705376 is about 690.8366075727.

The spelling of 329705376 in words is "three hundred twenty-nine million, seven hundred five thousand, three hundred seventy-six".