3013953120 has 576 divisors, whose sum is σ = 11692646784. Its totient is φ = 702873600.

The previous prime is 3013953073. The next prime is 3013953121. The reversal of 3013953120 is 213593103.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013953121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29841070 + ... + 29841170.

It is an arithmetic number, because the mean of its divisors is an integer number (20299734).

Almost surely, 2^3013953120 is an apocalyptic number.

3013953120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846323392).

3013953120 is an abundant number, since it is smaller than the sum of its proper divisors (8678693664).

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

3013953120 is a wasteful number, since it uses less digits than its factorization.

3013953120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 3013953120 is about 54899.4819647690. The cubic root of 3013953120 is about 1444.4820994961.

The spelling of 3013953120 in words is "three billion, thirteen million, nine hundred fifty-three thousand, one hundred twenty".