3345682720 has 24 divisors (see below), whose sum is σ = 7904175804. Its totient is φ = 1338273024.

The previous prime is 3345682699. The next prime is 3345682723. The reversal of 3345682720 is 272865433.

It can be written as a sum of positive squares in 2 ways, for example, as 3180508816 + 165173904 = 56396^2 + 12852^2 .

It is a super-2 number, since 2×3345682720² = 22387185725813196800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3345682723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10455099 + ... + 10455418.

Almost surely, 2^3345682720 is an apocalyptic number.

It is an amenable number.

3345682720 is an abundant number, since it is smaller than the sum of its proper divisors (4558493084).

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

3345682720 is a wasteful number, since it uses less digits than its factorization.

3345682720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20910532 (or 20910524 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 3345682720 is about 57841.8768713464. The cubic root of 3345682720 is about 1495.6440620401.

The spelling of 3345682720 in words is "three billion, three hundred forty-five million, six hundred eighty-two thousand, seven hundred twenty".