329948881920 has 1408 divisors, whose sum is σ = 1466954219520. Its totient is φ = 68584734720.

The previous prime is 329948881901. The next prime is 329948881957. The reversal of 329948881920 is 29188849923.

It is a happy number.

329948881920 is a `hidden beast` number, since 32 + 99 + 488 + 8 + 19 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 509967037 + ... + 509967683.

Almost surely, 2^329948881920 is an apocalyptic number.

329948881920 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 329948881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733477109760).

329948881920 is an abundant number, since it is smaller than the sum of its proper divisors (1137005337600).

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

329948881920 is a wasteful number, since it uses less digits than its factorization.

329948881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 329948881920 in words is "three hundred twenty-nine billion, nine hundred forty-eight million, eight hundred eighty-one thousand, nine hundred twenty".