3712308384960 has 672 divisors, whose sum is σ = 15571496578560. Its totient is φ = 792850415616.

The previous prime is 3712308384929. The next prime is 3712308385117. The reversal of 3712308384960 is 694838032173.

3712308384960 is a `hidden beast` number, since 3 + 71 + 2 + 3 + 0 + 83 + 8 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 3712308384897 and 3712308384906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27895539 + ... + 28028301.

Almost surely, 2^{3712308384960} is an apocalyptic number.

3712308384960 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 3712308384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7785748289280).

3712308384960 is an abundant number, since it is smaller than the sum of its proper divisors (11859188193600).

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

3712308384960 is a wasteful number, since it uses less digits than its factorization.

3712308384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132885 (or 132872 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3712308384960 in words is "three trillion, seven hundred twelve billion, three hundred eight million, three hundred eighty-four thousand, nine hundred sixty".