3345679680 has 112 divisors (see below), whose sum is σ = 12140062080. Its totient is φ = 764725248.

The previous prime is 3345679661. The next prime is 3345679693. The reversal of 3345679680 is 869765433.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3345679680² = 22387145042329804800, which 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242215 + ... + 255654.

Almost surely, 2^3345679680 is an apocalyptic number.

3345679680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3345679680 is an abundant number, since it is smaller than the sum of its proper divisors (8794382400).

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

3345679680 is a wasteful number, since it uses less digits than its factorization.

3345679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497896 (or 497886 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The square root of 3345679680 is about 57841.8505928017. The cubic root of 3345679680 is about 1495.6436090424.

The spelling of 3345679680 in words is "three billion, three hundred forty-five million, six hundred seventy-nine thousand, six hundred eighty".