3372584474880 has 648 divisors, whose sum is σ = 12027731035320. Its totient is φ = 872278917120.

The previous prime is 3372584474849. The next prime is 3372584474881. The reversal of 3372584474880 is 884744852733.

3372584474880 is a `hidden beast` number, since 3 + 3 + 7 + 2 + 5 + 84 + 474 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4155607296 + 3368428867584 = 64464^2 + 1835328^2 .

It is a super-2 number, since 2×3372584474880² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3372584474881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4385675136 + ... + 4385675904.

Almost surely, 2^{3372584474880} is an apocalyptic number.

3372584474880 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 3372584474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013865517660).

3372584474880 is an abundant number, since it is smaller than the sum of its proper divisors (8655146560440).

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

3372584474880 is an equidigital number, since it uses as much as digits as its factorization.

3372584474880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 3372584474880 in words is "three trillion, three hundred seventy-two billion, five hundred eighty-four million, four hundred seventy-four thousand, eight hundred eighty".