3318109978624 has 405 divisors, whose sum is σ = 8223972052023. Its totient is φ = 1334611869696.

The previous prime is 3318109978613. The next prime is 3318109978669. The reversal of 3318109978624 is 4268799018133.

The square root of 3318109978624 is 1821568.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×3318109978624² (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 (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31010373579 + ... + 31010373685.

Almost surely, 2^{3318109978624} is an apocalyptic number.

3318109978624 is the 1821568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3318109978624

3318109978624 is an abundant number, since it is smaller than the sum of its proper divisors (4905862073399).

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

3318109978624 is an frugal number, since it uses more digits than its factorization.

3318109978624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 61.

The spelling of 3318109978624 in words is "three trillion, three hundred eighteen billion, one hundred nine million, nine hundred seventy-eight thousand, six hundred twenty-four".