32987932205382 has 512 divisors, whose sum is σ = 97319190528000. Its totient is φ = 8023695304320.

The previous prime is 32987932205359. The next prime is 32987932205467. The reversal of 32987932205382 is 28350223978923.

32987932205382 is a `hidden beast` number, since 3 + 2 + 9 + 8 + 7 + 93 + 2 + 2 + 0 + 538 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4049085433 + ... + 4049093579.

It is an arithmetic number, because the mean of its divisors is an integer number (190076544000).

Almost surely, 2^{32987932205382} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32987932205382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48659595264000).

32987932205382 is an abundant number, since it is smaller than the sum of its proper divisors (64331258322618).

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

32987932205382 is a wasteful number, since it uses less digits than its factorization.

32987932205382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8781 (or 8775 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 32987932205382 in words is "thirty-two trillion, nine hundred eighty-seven billion, nine hundred thirty-two million, two hundred five thousand, three hundred eighty-two".