32349042796980 has 1152 divisors, whose sum is σ = 118995748945920. Its totient is φ = 6419039477760.

The previous prime is 32349042796963. The next prime is 32349042796981. The reversal of 32349042796980 is 8969724094323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32349042796981) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21667141114 + ... + 21667142606.

It is an arithmetic number, because the mean of its divisors is an integer number (103294920960).

Almost surely, 2^{32349042796980} is an apocalyptic number.

32349042796980 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 32349042796980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59497874472960).

32349042796980 is an abundant number, since it is smaller than the sum of its proper divisors (86646706148940).

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

32349042796980 is a wasteful number, since it uses less digits than its factorization.

32349042796980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 66.

The spelling of 32349042796980 in words is "thirty-two trillion, three hundred forty-nine billion, forty-two million, seven hundred ninety-six thousand, nine hundred eighty".