3645992 has 48 divisors (see below), whose sum is σ = 8125920. Its totient is φ = 1528800.

The previous prime is 3645979. The next prime is 3645997. The reversal of 3645992 is 2995463.

It is a super-3 number, since 3×3645992³ (a number of 21 digits) contains 333 as substring.

It is a d-powerful number, because it can be written as 3⁸ + 6⁸ + 4² + 5⁹ + 9² + 9⁴ + 2⁵ .

It is not an unprimeable number, because it can be changed into a prime (3645997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27767 + ... + 27897.

It is an arithmetic number, because the mean of its divisors is an integer number (169290).

Almost surely, 2^3645992 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 3645992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062960).

3645992 is an abundant number, since it is smaller than the sum of its proper divisors (4479928).

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

3645992 is a wasteful number, since it uses less digits than its factorization.

3645992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its digits is 58320, while the sum is 38.

The square root of 3645992 is about 1909.4480877992. The cubic root of 3645992 is about 153.9117952197.

The spelling of 3645992 in words is "three million, six hundred forty-five thousand, nine hundred ninety-two".