3022521889968 has 1280 divisors, whose sum is σ = 11382128640000. Its totient is φ = 747899412480.

The previous prime is 3022521889957. The next prime is 3022521889969. The reversal of 3022521889968 is 8699881252203.

3022521889968 is a `hidden beast` number, since 3 + 0 + 22 + 521 + 8 + 89 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3022521889969) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3645984978 + ... + 3645985806.

It is an arithmetic number, because the mean of its divisors is an integer number (8892288000).

Almost surely, 2^{3022521889968} is an apocalyptic number.

3022521889968 is a gapful number since it is divisible by the number (38) 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 3022521889968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691064320000).

3022521889968 is an abundant number, since it is smaller than the sum of its proper divisors (8359606750032).

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

3022521889968 is a wasteful number, since it uses less digits than its factorization.

3022521889968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 3022521889968 in words is "three trillion, twenty-two billion, five hundred twenty-one million, eight hundred eighty-nine thousand, nine hundred sixty-eight".