3344013000 has 192 divisors, whose sum is σ = 11339967600. Its totient is φ = 888806400.

The previous prime is 3344012989. The next prime is 3344013019. The reversal of 3344013000 is 3104433.

It can be written as a sum of positive squares in 8 ways, for example, as 69655716 + 3274357284 = 8346^2 + 57222^2 .

It is a super-2 number, since 2×3344013000² = 22364845888338000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5120674 + ... + 5121326.

Almost surely, 2^3344013000 is an apocalyptic number.

3344013000 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 3344013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669983800).

3344013000 is an abundant number, since it is smaller than the sum of its proper divisors (7995954600).

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

3344013000 is a wasteful number, since it uses less digits than its factorization.

3344013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3344013000 is about 57827.4415826950. The cubic root of 3344013000 is about 1495.3952117487.

Adding to 3344013000 its reverse (3104433), we get a palindrome (3347117433).

The spelling of 3344013000 in words is "three billion, three hundred forty-four million, thirteen thousand".