32982508441600 has 351 divisors, whose sum is σ = 83021693012671. Its totient is φ = 12996729241600.

The previous prime is 32982508441507. The next prime is 32982508441601. The reversal of 32982508441600 is 614480528923.

It is a happy number.

The square root of 32982508441600 is 5743040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 96229003264 + 32886279438336 = 310208^2 + 5734656^2 .

It is a super-3 number, since 3×32982508441600³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32982508441601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 240748236732 + ... + 240748236868.

Almost surely, 2^{32982508441600} is an apocalyptic number.

32982508441600 is the 5743040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32982508441600

32982508441600 is an abundant number, since it is smaller than the sum of its proper divisors (50039184571071).

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

32982508441600 is an frugal number, since it uses more digits than its factorization.

32982508441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 32982508441600 in words is "thirty-two trillion, nine hundred eighty-two billion, five hundred eight million, four hundred forty-one thousand, six hundred".