329442361920 has 1344 divisors, whose sum is σ = 1426990694400. Its totient is φ = 70066114560.

The previous prime is 329442361849. The next prime is 329442361931. The reversal of 329442361920 is 29163244923.

329442361920 is a `hidden beast` number, since 3 + 2 + 9 + 4 + 4 + 2 + 3 + 619 + 20 = 666.

329442361920 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1724829025 + ... + 1724829215.

Almost surely, 2^329442361920 is an apocalyptic number.

329442361920 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 329442361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713495347200).

329442361920 is an abundant number, since it is smaller than the sum of its proper divisors (1097548332480).

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

329442361920 is a wasteful number, since it uses less digits than its factorization.

329442361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 329442361920 in words is "three hundred twenty-nine billion, four hundred forty-two million, three hundred sixty-one thousand, nine hundred twenty".