3993246331488 has 144 divisors (see below), whose sum is σ = 12207797521920. Its totient is φ = 1234194755328.

The previous prime is 3993246331483. The next prime is 3993246331513. The reversal of 3993246331488 is 8841336423993.

3993246331488 is a `hidden beast` number, since 3 + 9 + 93 + 2 + 4 + 63 + 3 + 1 + 488 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3993246331483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7506220 + ... + 8020587.

It is an arithmetic number, because the mean of its divisors is an integer number (84776371680).

Almost surely, 2^{3993246331488} is an apocalyptic number.

3993246331488 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3993246331488 is an abundant number, since it is smaller than the sum of its proper divisors (8214551190432).

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

3993246331488 is a wasteful number, since it uses less digits than its factorization.

3993246331488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15526889 (or 15526878 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 3993246331488 in words is "three trillion, nine hundred ninety-three billion, two hundred forty-six million, three hundred thirty-one thousand, four hundred eighty-eight".