329945070 has 128 divisors (see below), whose sum is σ = 1026063360. Its totient is φ = 65940480.

The previous prime is 329945041. The next prime is 329945107. The reversal of 329945070 is 70549923.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 48690 + ... + 55050.

It is an arithmetic number, because the mean of its divisors is an integer number (8016120).

Almost surely, 2^329945070 is an apocalyptic number.

329945070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 329945070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513031680).

329945070 is an abundant number, since it is smaller than the sum of its proper divisors (696118290).

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

329945070 is a wasteful number, since it uses less digits than its factorization.

329945070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6410.

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 329945070 is about 18164.3901631737. The cubic root of 329945070 is about 691.0039784949.

The spelling of 329945070 in words is "three hundred twenty-nine million, nine hundred forty-five thousand, seventy".