3983318477568 has 360 divisors, whose sum is σ = 12018192378192. Its totient is φ = 1312091799552.

The previous prime is 3983318477563. The next prime is 3983318477573. The reversal of 3983318477568 is 8657748133893.

3983318477568 is a `hidden beast` number, since 3 + 9 + 8 + 3 + 3 + 18 + 47 + 7 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (3983318477563) and next prime (3983318477573).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3983318477496 and 3983318477505.

It is not an unprimeable number, because it can be changed into a prime (3983318477563) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1965128971 + ... + 1965130997.

Almost surely, 2^{3983318477568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3983318477568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6009096189096).

3983318477568 is an abundant number, since it is smaller than the sum of its proper divisors (8034873900624).

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

3983318477568 is an equidigital number, since it uses as much as digits as its factorization.

3983318477568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3106 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 3983318477568 in words is "three trillion, nine hundred eighty-three billion, three hundred eighteen million, four hundred seventy-seven thousand, five hundred sixty-eight".