3990096 has 90 divisors (see below), whose sum is σ = 12327770. Its totient is φ = 1203840.

The previous prime is 3990083. The next prime is 3990097. The reversal of 3990096 is 6900993.

It can be written as a sum of positive squares in only one way, i.e., 3920400 + 69696 = 1980^2 + 264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3990096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3990097) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17310 + ... + 17538.

Almost surely, 2^3990096 is an apocalyptic number.

3990096 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 3990096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6163885).

3990096 is an abundant number, since it is smaller than the sum of its proper divisors (8337674).

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

3990096 is a wasteful number, since it uses less digits than its factorization.

3990096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 3990096 is about 1997.5224654556. The cubic root of 3990096 is about 158.6089834179.

It can be divided in two parts, 3 and 990096, that added together give a palindrome (990099).

The spelling of 3990096 in words is "three million, nine hundred ninety thousand, ninety-six".