3998097269712 has 1440 divisors, whose sum is σ = 15443516385024. Its totient is φ = 974625177600.

The previous prime is 3998097269681. The next prime is 3998097269713. The reversal of 3998097269712 is 2179627908993.

3998097269712 is a `hidden beast` number, since 399 + 80 + 9 + 72 + 6 + 97 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3998097269713) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6237280912 + ... + 6237281552.

Almost surely, 2^{3998097269712} 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 3998097269712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721758192512).

3998097269712 is an abundant number, since it is smaller than the sum of its proper divisors (11445419115312).

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

3998097269712 is a wasteful number, since it uses less digits than its factorization.

3998097269712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 185177664, while the sum is 72.

The spelling of 3998097269712 in words is "three trillion, nine hundred ninety-eight billion, ninety-seven million, two hundred sixty-nine thousand, seven hundred twelve".