3688992 has 36 divisors (see below), whose sum is σ = 10491390. Its totient is φ = 1229568.

The previous prime is 3688991. The next prime is 3689009. The reversal of 3688992 is 2998863.

It can be written as a sum of positive squares in only one way, i.e., 3370896 + 318096 = 1836^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3688991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6117 + ... + 6692.

Almost surely, 2^3688992 is an apocalyptic number.

3688992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3688992 is an abundant number, since it is smaller than the sum of its proper divisors (6802398).

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

3688992 is a wasteful number, since it uses less digits than its factorization.

3688992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12825 (or 12814 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 3688992 is about 1920.6748813894. The cubic root of 3688992 is about 154.5144989064.

The spelling of 3688992 in words is "three million, six hundred eighty-eight thousand, nine hundred ninety-two".