3120413240 has 256 divisors, whose sum is σ = 8883302400. Its totient is φ = 962150400.

The previous prime is 3120413239. The next prime is 3120413323. The reversal of 3120413240 is 423140213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11514305 + ... + 11514575.

It is an arithmetic number, because the mean of its divisors is an integer number (34700400).

Almost surely, 2^3120413240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3120413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441651200).

3120413240 is an abundant number, since it is smaller than the sum of its proper divisors (5762889160).

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

3120413240 is a wasteful number, since it uses less digits than its factorization.

3120413240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3120413240 is about 55860.6591439807. The cubic root of 3120413240 is about 1461.2932245879.

Adding to 3120413240 its reverse (423140213), we get a palindrome (3543553453).

It can be divided in two parts, 31204 and 13240, that added together give a palindrome (44444).

The spelling of 3120413240 in words is "three billion, one hundred twenty million, four hundred thirteen thousand, two hundred forty".