3623312424960 has 736 divisors, whose sum is σ = 13207022860800. Its totient is φ = 953986056192.

The previous prime is 3623312424937. The next prime is 3623312424997. The reversal of 3623312424960 is 694242133263.

3623312424960 is a `hidden beast` number, since 3 + 6 + 2 + 33 + 124 + 2 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45864714201 + ... + 45864714279.

Almost surely, 2^{3623312424960} is an apocalyptic number.

3623312424960 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 3623312424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603511430400).

3623312424960 is an abundant number, since it is smaller than the sum of its proper divisors (9583710435840).

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

3623312424960 is an frugal number, since it uses more digits than its factorization.

3623312424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 3623312424960 in words is "three trillion, six hundred twenty-three billion, three hundred twelve million, four hundred twenty-four thousand, nine hundred sixty".