3318841344 has 384 divisors, whose sum is σ = 11296136880. Its totient is φ = 858783744.

The previous prime is 3318841319. The next prime is 3318841399. The reversal of 3318841344 is 4431488133.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3318841344² = 22029415733287452672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62619622 + ... + 62619674.

Almost surely, 2^3318841344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3318841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648068440).

3318841344 is an abundant number, since it is smaller than the sum of its proper divisors (7977295536).

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

3318841344 is an equidigital number, since it uses as much as digits as its factorization.

3318841344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 78 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 3318841344 is about 57609.3859019518. The cubic root of 3318841344 is about 1491.6336216781.

The spelling of 3318841344 in words is "three billion, three hundred eighteen million, eight hundred forty-one thousand, three hundred forty-four".