3330400113 has 12 divisors (see below), whose sum is σ = 5093553348. Its totient is φ = 2089662720.

The previous prime is 3330400063. The next prime is 3330400169. The reversal of 3330400113 is 3110040333.

It can be written as a sum of positive squares in 2 ways, for example, as 2339850384 + 990549729 = 48372^2 + 31473^2 .

It is not a de Polignac number, because 3330400113 - 2¹⁰ = 3330399089 is a prime.

It is a super-2 number, since 2×3330400113² = 22183129825340825538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3330400613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10883508 + ... + 10883813.

It is an arithmetic number, because the mean of its divisors is an integer number (424462779).

Almost surely, 2^3330400113 is an apocalyptic number.

It is an amenable number.

3330400113 is a deficient number, since it is larger than the sum of its proper divisors (1763153235).

3330400113 is a wasteful number, since it uses less digits than its factorization.

3330400113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21767344 (or 21767341 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3330400113 is about 57709.6188949468. The cubic root of 3330400113 is about 1493.3632886819.

Adding to 3330400113 its reverse (3110040333), we get a palindrome (6440440446).

The spelling of 3330400113 in words is "three billion, three hundred thirty million, four hundred thousand, one hundred thirteen".