3123963924480 has 1248 divisors, whose sum is σ = 13099760144640. Its totient is φ = 674551037952.

The previous prime is 3123963924443. The next prime is 3123963924491. The reversal of 3123963924480 is 844293693213.

3123963924480 is a `hidden beast` number, since 3 + 1 + 2 + 396 + 3 + 9 + 244 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8849755984 + ... + 8849756336.

It is an arithmetic number, because the mean of its divisors is an integer number (10496602680).

Almost surely, 2^{3123963924480} is an apocalyptic number.

3123963924480 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 3123963924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549880072320).

3123963924480 is an abundant number, since it is smaller than the sum of its proper divisors (9975796220160).

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

3123963924480 is an equidigital number, since it uses as much as digits as its factorization.

3123963924480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 3123963924480 in words is "three trillion, one hundred twenty-three billion, nine hundred sixty-three million, nine hundred twenty-four thousand, four hundred eighty".