3218152087920 has 960 divisors, whose sum is σ = 13185130669056. Its totient is φ = 630710599680.

The previous prime is 3218152087903. The next prime is 3218152087957. The reversal of 3218152087920 is 297802518123.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3218152087920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1714518022 + ... + 1714519898.

Almost surely, 2^{3218152087920} is an apocalyptic number.

3218152087920 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 3218152087920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592565334528).

3218152087920 is an abundant number, since it is smaller than the sum of its proper divisors (9966978581136).

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

3218152087920 is a wasteful number, since it uses less digits than its factorization.

3218152087920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 3218152087920 in words is "three trillion, two hundred eighteen billion, one hundred fifty-two million, eighty-seven thousand, nine hundred twenty".