3218090014080 has 512 divisors, whose sum is σ = 11651314752000. Its totient is φ = 839225401344.

The previous prime is 3218090014049. The next prime is 3218090014099. The reversal of 3218090014080 is 804100908123.

It is a super-2 number, since 2×3218090014080² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160918642 + ... + 160938638.

It is an arithmetic number, because the mean of its divisors is an integer number (22756474125).

Almost surely, 2^{3218090014080} is an apocalyptic number.

3218090014080 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 3218090014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5825657376000).

3218090014080 is an abundant number, since it is smaller than the sum of its proper divisors (8433224737920).

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

3218090014080 is a wasteful number, since it uses less digits than its factorization.

3218090014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20231 (or 20213 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 3218090014080 in words is "three trillion, two hundred eighteen billion, ninety million, fourteen thousand, eighty".