3344808960 has 264 divisors, whose sum is σ = 11994109920. Its totient is φ = 860848128.

The previous prime is 3344808941. The next prime is 3344808967. The reversal of 3344808960 is 698084433.

3344808960 is a `hidden beast` number, since 3 + 34 + 480 + 89 + 60 = 666.

It is a super-2 number, since 2×3344808960² = 22375493957792563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344808967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1335069 + ... + 1337571.

Almost surely, 2^3344808960 is an apocalyptic number.

3344808960 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 3344808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997054960).

3344808960 is an abundant number, since it is smaller than the sum of its proper divisors (8649300960).

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

3344808960 is a wasteful number, since it uses less digits than its factorization.

3344808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3344808960 is about 57834.3233728899. The cubic root of 3344808960 is about 1495.5138496793.

The spelling of 3344808960 in words is "three billion, three hundred forty-four million, eight hundred eight thousand, nine hundred sixty".