3998867618592 has 4608 divisors, whose sum is σ = 18259889356800. Its totient is φ = 827714764800.

The previous prime is 3998867618503. The next prime is 3998867618617. The reversal of 3998867618592 is 2958167688993.

3998867618592 is a `hidden beast` number, since 3 + 9 + 9 + 8 + 8 + 6 + 7 + 6 + 18 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (2821754880) is a multiple of the sum of its prime factors (162).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 128995729617 + ... + 128995729647.

It is an arithmetic number, because the mean of its divisors is an integer number (3962649600).

Almost surely, 2^{3998867618592} is an apocalyptic number.

3998867618592 is a gapful number since it is divisible by the number (32) 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 3998867618592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9129944678400).

3998867618592 is an abundant number, since it is smaller than the sum of its proper divisors (14261021738208).

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

3998867618592 is a wasteful number, since it uses less digits than its factorization.

3998867618592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

The product of its digits is 2821754880, while the sum is 81.

The spelling of 3998867618592 in words is "three trillion, nine hundred ninety-eight billion, eight hundred sixty-seven million, six hundred eighteen thousand, five hundred ninety-two".