3120938640 has 320 divisors, whose sum is σ = 11214520320. Its totient is φ = 796884480.

The previous prime is 3120938599. The next prime is 3120938677. The reversal of 3120938640 is 468390213.

3120938640 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 9 + 3 + 8 + 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 = 3120938595 and 3120938604.

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, 8503737 + ... + 8504103.

It is an arithmetic number, because the mean of its divisors is an integer number (35045376).

Almost surely, 2^3120938640 is an apocalyptic number.

3120938640 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 3120938640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607260160).

3120938640 is an abundant number, since it is smaller than the sum of its proper divisors (8093581680).

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

3120938640 is a wasteful number, since it uses less digits than its factorization.

3120938640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3120938640 is about 55865.3617190473. The cubic root of 3120938640 is about 1461.3752351331.

The spelling of 3120938640 in words is "three billion, one hundred twenty million, nine hundred thirty-eight thousand, six hundred forty".