3113238240 has 768 divisors, whose sum is σ = 13330759680. Its totient is φ = 671846400.

The previous prime is 3113238197. The next prime is 3113238257. The reversal of 3113238240 is 428323113.

3113238240 is a `hidden beast` number, since 311 + 323 + 8 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75932620 + ... + 75932660.

It is an arithmetic number, because the mean of its divisors is an integer number (17357760).

Almost surely, 2^3113238240 is an apocalyptic number.

3113238240 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 3113238240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6665379840).

3113238240 is an abundant number, since it is smaller than the sum of its proper divisors (10217521440).

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

3113238240 is an equidigital number, since it uses as much as digits as its factorization.

3113238240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3113238240 is about 55796.3998838635. The cubic root of 3113238240 is about 1460.1723447015.

The spelling of 3113238240 in words is "three billion, one hundred thirteen million, two hundred thirty-eight thousand, two hundred forty".