32980839324930 has 640 divisors, whose sum is σ = 105465905107200. Its totient is φ = 7330800153600.

The previous prime is 32980839324919. The next prime is 32980839324943. The reversal of 32980839324930 is 3942393808923.

32980839324930 is a `hidden beast` number, since 3 + 2 + 9 + 80 + 8 + 39 + 32 + 493 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3519453145 + ... + 3519462515.

It is an arithmetic number, because the mean of its divisors is an integer number (164790476730).

Almost surely, 2^{32980839324930} is an apocalyptic number.

32980839324930 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 32980839324930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52732952553600).

32980839324930 is an abundant number, since it is smaller than the sum of its proper divisors (72485065782270).

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

32980839324930 is an equidigital number, since it uses as much as digits as its factorization.

32980839324930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9565 (or 9538 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 32980839324930 in words is "thirty-two trillion, nine hundred eighty billion, eight hundred thirty-nine million, three hundred twenty-four thousand, nine hundred thirty".