3331980288001 has 16 divisors (see below), whose sum is σ = 3561484032000. Its totient is φ = 3108008610000.

The previous prime is 3331980287957. The next prime is 3331980288019. The reversal of 3331980288001 is 1008820891333.

It is a cyclic number.

It is not a de Polignac number, because 3331980288001 - 2³⁵ = 3297620549633 is a prime.

It is a super-2 number, since 2×3331980288001² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3331980288101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631351 + ... + 2657548.

It is an arithmetic number, because the mean of its divisors is an integer number (222592752000).

Almost surely, 2^{3331980288001} is an apocalyptic number.

It is an amenable number.

3331980288001 is a deficient number, since it is larger than the sum of its proper divisors (229503743999).

3331980288001 is a wasteful number, since it uses less digits than its factorization.

3331980288001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289740.

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 3331980288001 in words is "three trillion, three hundred thirty-one billion, nine hundred eighty million, two hundred eighty-eight thousand, one".