3252993575680 has 72 divisors (see below), whose sum is σ = 7799631224112. Its totient is φ = 1299912413184.

The previous prime is 3252993575677. The next prime is 3252993575761. The reversal of 3252993575680 is 865753992523.

It is a super-3 number, since 3×3252993575680³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42247 + ... + 2551033.

It is an arithmetic number, because the mean of its divisors is an integer number (108328211446).

Almost surely, 2^{3252993575680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3252993575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899815612056).

3252993575680 is an abundant number, since it is smaller than the sum of its proper divisors (4546637648432).

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

3252993575680 is a wasteful number, since it uses less digits than its factorization.

3252993575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509821 (or 2509807 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 64.

The spelling of 3252993575680 in words is "three trillion, two hundred fifty-two billion, nine hundred ninety-three million, five hundred seventy-five thousand, six hundred eighty".