3251328880800 has 2304 divisors, whose sum is σ = 14816651673600. Its totient is φ = 597417984000.

The previous prime is 3251328880747. The next prime is 3251328880817. The reversal of 3251328880800 is 80888231523.

It is a super-2 number, since 2×3251328880800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3251328880800.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11096685454 + ... + 11096685746.

It is an arithmetic number, because the mean of its divisors is an integer number (6430838400).

Almost surely, 2^{3251328880800} is an apocalyptic number.

3251328880800 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 3251328880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408325836800).

3251328880800 is an abundant number, since it is smaller than the sum of its proper divisors (11565322792800).

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

3251328880800 is a wasteful number, since it uses less digits than its factorization.

3251328880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 3251328880800 in words is "three trillion, two hundred fifty-one billion, three hundred twenty-eight million, eight hundred eighty thousand, eight hundred".