3556002401280 has 2816 divisors, whose sum is σ = 16661702246400. Its totient is φ = 699436892160.

The previous prime is 3556002401233. The next prime is 3556002401317. The reversal of 3556002401280 is 821042006553.

3556002401280 is a `hidden beast` number, since 3 + 5 + 5 + 600 + 2 + 40 + 1 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×3556002401280² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 255 ways as a sum of consecutive naturals, for example, 9689379657 + ... + 9689380023.

Almost surely, 2^{3556002401280} is an apocalyptic number.

3556002401280 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 3556002401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8330851123200).

3556002401280 is an abundant number, since it is smaller than the sum of its proper divisors (13105699845120).

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

3556002401280 is a wasteful number, since it uses less digits than its factorization.

3556002401280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 3556002401280 in words is "three trillion, five hundred fifty-six billion, two million, four hundred one thousand, two hundred eighty".