3360735072 has 72 divisors (see below), whose sum is σ = 9672304824. Its totient is φ = 1106740224.

The previous prime is 3360735031. The next prime is 3360735127. The reversal of 3360735072 is 2705370633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3360735072² = 22589080448341690368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46393 + ... + 94200.

It is an arithmetic number, because the mean of its divisors is an integer number (134337567).

Almost surely, 2^3360735072 is an apocalyptic number.

3360735072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3360735072 is an abundant number, since it is smaller than the sum of its proper divisors (6311569752).

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

3360735072 is a wasteful number, since it uses less digits than its factorization.

3360735072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140692 (or 140681 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 36.

The square root of 3360735072 is about 57971.8472363957. The cubic root of 3360735072 is about 1497.8836929004.

The spelling of 3360735072 in words is "three billion, three hundred sixty million, seven hundred thirty-five thousand, seventy-two".