3013825680 has 60 divisors (see below), whose sum is σ = 10121433660. Its totient is φ = 803686656.

The previous prime is 3013825651. The next prime is 3013825681. The reversal of 3013825680 is 865283103.

3013825680 is a `hidden beast` number, since 3 + 0 + 13 + 82 + 568 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2336368896 + 677456784 = 48336^2 + 26028^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (3013825681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2092215 + ... + 2093654.

It is an arithmetic number, because the mean of its divisors is an integer number (168690561).

Almost surely, 2^3013825680 is an apocalyptic number.

3013825680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3013825680 is an abundant number, since it is smaller than the sum of its proper divisors (7107607980).

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

3013825680 is a wasteful number, since it uses less digits than its factorization.

3013825680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185888 (or 4185879 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3013825680 is about 54898.3212858098. The cubic root of 3013825680 is about 1444.4617400340.

The spelling of 3013825680 in words is "three billion, thirteen million, eight hundred twenty-five thousand, six hundred eighty".