3988017312480 has 144 divisors (see below), whose sum is σ = 13645018885680. Its totient is φ = 1060665145344.

The previous prime is 3988017312473. The next prime is 3988017312547. The reversal of 3988017312480 is 842137108893.

It is a happy number.

3988017312480 is a `hidden beast` number, since 3 + 9 + 8 + 80 + 1 + 73 + 12 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3107877 + ... + 4199396.

It is an arithmetic number, because the mean of its divisors is an integer number (94757075595).

Almost surely, 2^{3988017312480} is an apocalyptic number.

3988017312480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3988017312480 is an abundant number, since it is smaller than the sum of its proper divisors (9657001573200).

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

3988017312480 is a wasteful number, since it uses less digits than its factorization.

3988017312480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7307673 (or 7307662 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 3988017312480 in words is "three trillion, nine hundred eighty-eight billion, seventeen million, three hundred twelve thousand, four hundred eighty".