3998592 has 128 divisors (see below), whose sum is σ = 12852000. Its totient is φ = 1216512.

The previous prime is 3998591. The next prime is 3998609. The reversal of 3998592 is 2958993.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3998591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44884 + ... + 44972.

Almost surely, 2^3998592 is an apocalyptic number.

3998592 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 3998592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426000).

3998592 is an abundant number, since it is smaller than the sum of its proper divisors (8853408).

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

3998592 is a wasteful number, since it uses less digits than its factorization.

3998592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 3998592 is about 1999.6479690185. The cubic root of 3998592 is about 158.7214775053.

The spelling of 3998592 in words is "three million, nine hundred ninety-eight thousand, five hundred ninety-two".