3222575976480 has 768 divisors, whose sum is σ = 12531575992320. Its totient is φ = 679645790208.

The previous prime is 3222575976479. The next prime is 3222575976527. The reversal of 3222575976480 is 846795752223.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1089811162 + ... + 1089814118.

It is an arithmetic number, because the mean of its divisors is an integer number (16317156240).

Almost surely, 2^{3222575976480} is an apocalyptic number.

3222575976480 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 3222575976480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265787996160).

3222575976480 is an abundant number, since it is smaller than the sum of its proper divisors (9309000015840).

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

3222575976480 is a wasteful number, since it uses less digits than its factorization.

3222575976480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 60.

The spelling of 3222575976480 in words is "three trillion, two hundred twenty-two billion, five hundred seventy-five million, nine hundred seventy-six thousand, four hundred eighty".