3113684640 has 576 divisors, whose sum is σ = 12703122432. Its totient is φ = 685670400.

The previous prime is 3113684599. The next prime is 3113684647. The reversal of 3113684640 is 464863113.

It is a happy number.

3113684640 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 6 + 8 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3113684595 and 3113684604.

It is not an unprimeable number, because it can be changed into a prime (3113684647) 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, 8347494 + ... + 8347866.

It is an arithmetic number, because the mean of its divisors is an integer number (22054032).

Almost surely, 2^3113684640 is an apocalyptic number.

3113684640 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 3113684640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6351561216).

3113684640 is an abundant number, since it is smaller than the sum of its proper divisors (9589437792).

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

3113684640 is a wasteful number, since it uses less digits than its factorization.

3113684640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3113684640 is about 55800.3999985663. The cubic root of 3113684640 is about 1460.2421316064.

The spelling of 3113684640 in words is "three billion, one hundred thirteen million, six hundred eighty-four thousand, six hundred forty".