32345608782400 has 63 divisors (see below), whose sum is σ = 79590973388601. Its totient is φ = 12938152515840.

The previous prime is 32345608782343. The next prime is 32345608782433. The reversal of 32345608782400 is 428780654323.

The square root of 32345608782400 is 5687320.

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

It can be written as a sum of positive squares in only one way, i.e., 11644419161664 + 20701189620736 = 3412392^2 + 4549856^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 227421709 + ... + 227563891.

Almost surely, 2^{32345608782400} is an apocalyptic number.

32345608782400 is the 5687320-th square number.

It is an amenable number.

32345608782400 is an abundant number, since it is smaller than the sum of its proper divisors (47245364606201).

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

32345608782400 is an frugal number, since it uses more digits than its factorization.

32345608782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284388 (or 142190 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 52.

The spelling of 32345608782400 in words is "thirty-two trillion, three hundred forty-five billion, six hundred eight million, seven hundred eighty-two thousand, four hundred".