3381137344 has 112 divisors (see below), whose sum is σ = 7687104768. Its totient is φ = 1461731328.

The previous prime is 3381137321. The next prime is 3381137387. The reversal of 3381137344 is 4437311833.

It is a super-2 number, since 2×3381137344² = 22864179477982748672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3917457 + ... + 3918319.

It is an arithmetic number, because the mean of its divisors is an integer number (68634864).

Almost surely, 2^3381137344 is an apocalyptic number.

3381137344 is a gapful number since it is divisible by the number (34) 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 3381137344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843552384).

3381137344 is an abundant number, since it is smaller than the sum of its proper divisors (4305967424).

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

3381137344 is a wasteful number, since it uses less digits than its factorization.

3381137344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1172 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 3381137344 is about 58147.5480480476. The cubic root of 3381137344 is about 1500.9086855640.

The spelling of 3381137344 in words is "three billion, three hundred eighty-one million, one hundred thirty-seven thousand, three hundred forty-four".