3123380736 has 600 divisors, whose sum is σ = 11430122220. Its totient is φ = 845365248.

The previous prime is 3123380699. The next prime is 3123380753. The reversal of 3123380736 is 6370833213.

It is a happy number.

3123380736 is a `hidden beast` number, since 312 + 338 + 0 + 7 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3073593600 + 49787136 = 55440^2 + 7056^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 3123380736.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 58931686 + ... + 58931738.

Almost surely, 2^3123380736 is an apocalyptic number.

3123380736 is a gapful number since it is divisible by the number (36) 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 3123380736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715061110).

3123380736 is an abundant number, since it is smaller than the sum of its proper divisors (8306741484).

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

3123380736 is an equidigital number, since it uses as much as digits as its factorization.

3123380736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3123380736 is about 55887.2144233366. The cubic root of 3123380736 is about 1461.7563051230.

The spelling of 3123380736 in words is "three billion, one hundred twenty-three million, three hundred eighty thousand, seven hundred thirty-six".