329197344 has 288 divisors, whose sum is σ = 1106058240. Its totient is φ = 83787264.

The previous prime is 329197303. The next prime is 329197381. The reversal of 329197344 is 443791923.

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

It is a junction number, because it is equal to n+sod(n) for n = 329197296 and 329197305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5579587 + ... + 5579645.

It is an arithmetic number, because the mean of its divisors is an integer number (3840480).

Almost surely, 2^329197344 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 329197344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553029120).

329197344 is an abundant number, since it is smaller than the sum of its proper divisors (776860896).

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

329197344 is a wasteful number, since it uses less digits than its factorization.

329197344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 329197344 is about 18143.7962951528. The cubic root of 329197344 is about 690.4815961515.

The spelling of 329197344 in words is "three hundred twenty-nine million, one hundred ninety-seven thousand, three hundred forty-four".