3998265089616 has 320 divisors, whose sum is σ = 13827381657600. Its totient is φ = 1081426857984.

The previous prime is 3998265089543. The next prime is 3998265089653. The reversal of 3998265089616 is 6169805628993.

3998265089616 is a `hidden beast` number, since 3 + 9 + 9 + 8 + 26 + 508 + 96 + 1 + 6 = 666.

It is a super-2 number, since 2×3998265089616² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6450225 + ... + 7042863.

It is an arithmetic number, because the mean of its divisors is an integer number (43210567680).

Almost surely, 2^{3998265089616} is an apocalyptic number.

3998265089616 is a gapful number since it is divisible by the number (36) 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 3998265089616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6913690828800).

3998265089616 is an abundant number, since it is smaller than the sum of its proper divisors (9829116567984).

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

3998265089616 is a wasteful number, since it uses less digits than its factorization.

3998265089616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592783 (or 592771 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 3998265089616 in words is "three trillion, nine hundred ninety-eight billion, two hundred sixty-five million, eighty-nine thousand, six hundred sixteen".