3118832640 has 704 divisors, whose sum is σ = 13865886720. Its totient is φ = 645857280.

The previous prime is 3118832617. The next prime is 3118832669. The reversal of 3118832640 is 462388113.

3118832640 is a `hidden beast` number, since 3 + 1 + 1 + 8 + 8 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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 = 3118832595 and 3118832604.

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, 10644334 + ... + 10644626.

Almost surely, 2^3118832640 is an apocalyptic number.

3118832640 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 3118832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6932943360).

3118832640 is an abundant number, since it is smaller than the sum of its proper divisors (10747054080).

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

3118832640 is a wasteful number, since it uses less digits than its factorization.

3118832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3118832640 is about 55846.5096492162. The cubic root of 3118832640 is about 1461.0464506311.

The spelling of 3118832640 in words is "three billion, one hundred eighteen million, eight hundred thirty-two thousand, six hundred forty".