3373260288000 has 416 divisors, whose sum is σ = 11587095017472. Its totient is φ = 870506496000.

The previous prime is 3373260287977. The next prime is 3373260288017. The reversal of 3373260288000 is 8820623733.

It is a super-2 number, since 2×3373260288000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 47580579 + ... + 47651421.

It is an arithmetic number, because the mean of its divisors is an integer number (27853593792).

Almost surely, 2^{3373260288000} is an apocalyptic number.

3373260288000 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 3373260288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793547508736).

3373260288000 is an abundant number, since it is smaller than the sum of its proper divisors (8213834729472).

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

3373260288000 is an equidigital number, since it uses as much as digits as its factorization.

3373260288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70916 (or 70884 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 3373260288000 in words is "three trillion, three hundred seventy-three billion, two hundred sixty million, two hundred eighty-eight thousand".