3345365040 has 80 divisors (see below), whose sum is σ = 10380808800. Its totient is φ = 891222016.

The previous prime is 3345365021. The next prime is 3345365053. The reversal of 3345365040 is 405635433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3345365040² = 22382934501708403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3345364992 and 3345365010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259876 + ... + 272444.

It is an arithmetic number, because the mean of its divisors is an integer number (129760110).

Almost surely, 2^3345365040 is an apocalyptic number.

3345365040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3345365040 is an abundant number, since it is smaller than the sum of its proper divisors (7035443760).

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

3345365040 is a wasteful number, since it uses less digits than its factorization.

3345365040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13694 (or 13688 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 33.

The square root of 3345365040 is about 57839.1306988616. The cubic root of 3345365040 is about 1495.5967223006.

The spelling of 3345365040 in words is "three billion, three hundred forty-five million, three hundred sixty-five thousand, forty".