3113740800 has 360 divisors, whose sum is σ = 11279679840. Its totient is φ = 820224000.

The previous prime is 3113740787. The next prime is 3113740801. The reversal of 3113740800 is 80473113.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (3113740801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17395111 + ... + 17395289.

It is an arithmetic number, because the mean of its divisors is an integer number (31332444).

Almost surely, 2^3113740800 is an apocalyptic number.

3113740800 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 3113740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5639839920).

3113740800 is an abundant number, since it is smaller than the sum of its proper divisors (8165939040).

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

3113740800 is a wasteful number, since it uses less digits than its factorization.

3113740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3113740800 is about 55800.9032184964. The cubic root of 3113740800 is about 1460.2509107769.

The spelling of 3113740800 in words is "three billion, one hundred thirteen million, seven hundred forty thousand, eight hundred".