3342181758480 has 120 divisors (see below), whose sum is σ = 11377916206488. Its totient is φ = 879039571968.

The previous prime is 3342181758451. The next prime is 3342181758497. The reversal of 3342181758480 is 848571812433.

3342181758480 is a `hidden beast` number, since 3 + 3 + 42 + 1 + 8 + 17 + 584 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1005062390784 + 2337119367696 = 1002528^2 + 1528764^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3342181758480² (a number of 26 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 31741407 + ... + 31846526.

Almost surely, 2^{3342181758480} is an apocalyptic number.

3342181758480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3342181758480 is an abundant number, since it is smaller than the sum of its proper divisors (8035734448008).

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

3342181758480 is a wasteful number, since it uses less digits than its factorization.

3342181758480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63588025 (or 63588016 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 3342181758480 in words is "three trillion, three hundred forty-two billion, one hundred eighty-one million, seven hundred fifty-eight thousand, four hundred eighty".