3345965838144 has 70 divisors (see below), whose sum is σ = 9918490955714. Its totient is φ = 1115321944320.

The previous prime is 3345965838101. The next prime is 3345965838191. The reversal of 3345965838144 is 4418385695433.

3345965838144 is a `hidden beast` number, since 3 + 3 + 4 + 5 + 9 + 6 + 583 + 8 + 1 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2924100000000 + 421865838144 = 1710000^2 + 649512^2 .

It is a super-2 number, since 2×3345965838144² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 322715287 + ... + 322725654.

Almost surely, 2^{3345965838144} is an apocalyptic number.

It is an amenable number.

3345965838144 is an abundant number, since it is smaller than the sum of its proper divisors (6572525117570).

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

3345965838144 is an equidigital number, since it uses as much as digits as its factorization.

3345965838144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645440965 (or 645440946 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 63.

The spelling of 3345965838144 in words is "three trillion, three hundred forty-five billion, nine hundred sixty-five million, eight hundred thirty-eight thousand, one hundred forty-four".