3643992 has 96 divisors (see below), whose sum is σ = 11119680. Its totient is φ = 1068480.

The previous prime is 3643973. The next prime is 3644021. The reversal of 3643992 is 2993463.

It is a happy number.

3643992 is a `hidden beast` number, since 3 + 643 + 9 + 9 + 2 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34003 + ... + 34109.

It is an arithmetic number, because the mean of its divisors is an integer number (115830).

Almost surely, 2^3643992 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 3643992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559840).

3643992 is an abundant number, since it is smaller than the sum of its proper divisors (7475688).

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

3643992 is a wasteful number, since it uses less digits than its factorization.

3643992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 166 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 3643992 is about 1908.9243044186. The cubic root of 3643992 is about 153.8836474259.

It can be divided in two parts, 364 and 3992, that added together give a square (4356 = 66²).

The spelling of 3643992 in words is "three million, six hundred forty-three thousand, nine hundred ninety-two".