3354336765 has 112 divisors (see below), whose sum is σ = 6726147120. Its totient is φ = 1593768960.

The previous prime is 3354336757. The next prime is 3354336773. The reversal of 3354336765 is 5676334533.

3354336765 is a `hidden beast` number, since 3 + 3 + 543 + 36 + 76 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (3354336757) and next prime (3354336773).

It can be written as a sum of positive squares in 8 ways, for example, as 739241721 + 2615095044 = 27189^2 + 51138^2 .

It is not a de Polignac number, because 3354336765 - 2³ = 3354336757 is a prime.

It is a super-2 number, since 2×3354336765² = 22503150266061330450, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3354336765.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1372945 + ... + 1375385.

It is an arithmetic number, because the mean of its divisors is an integer number (60054885).

Almost surely, 2^3354336765 is an apocalyptic number.

It is an amenable number.

3354336765 is an abundant number, since it is smaller than the sum of its proper divisors (3371810355).

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

3354336765 is a wasteful number, since it uses less digits than its factorization.

3354336765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2491 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 45.

The square root of 3354336765 is about 57916.6363405196. The cubic root of 3354336765 is about 1496.9325112847.

The spelling of 3354336765 in words is "three billion, three hundred fifty-four million, three hundred thirty-six thousand, seven hundred sixty-five".