3344130000 has 300 divisors, whose sum is σ = 11878400820. Its totient is φ = 877824000.

The previous prime is 3344129989. The next prime is 3344130001. The reversal of 3344130000 is 314433.

It can be written as a sum of positive squares in 10 ways, for example, as 1940578704 + 1403551296 = 44052^2 + 37464^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×3344130000² = 22366410913800000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344130001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6569746 + ... + 6570254.

Almost surely, 2^3344130000 is an apocalyptic number.

3344130000 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 3344130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939200410).

3344130000 is an abundant number, since it is smaller than the sum of its proper divisors (8534270820).

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

3344130000 is a wasteful number, since it uses less digits than its factorization.

3344130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 592 counting only the distinct ones).

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

The square root of 3344130000 is about 57828.4532042834. The cubic root of 3344130000 is about 1495.4126517924.

Adding to 3344130000 its reverse (314433), we get a palindrome (3344444433).

The spelling of 3344130000 in words is "three billion, three hundred forty-four million, one hundred thirty thousand".