3655872 has 84 divisors (see below), whose sum is σ = 11451336. Its totient is φ = 1105920.

The previous prime is 3655849. The next prime is 3655877. The reversal of 3655872 is 2785563.

3655872 is a `hidden beast` number, since 36 + 558 + 72 = 666.

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

It is a d-powerful number, because it can be written as 3⁷ + 6⁸ + 5² + 5⁹ + 8⁴ + 7⁵ + 2⁴ .

It is not an unprimeable number, because it can be changed into a prime (3655877) 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, 6048 + ... + 6624.

Almost surely, 2^3655872 is an apocalyptic number.

3655872 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 3655872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725668).

3655872 is an abundant number, since it is smaller than the sum of its proper divisors (7795464).

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

3655872 is a wasteful number, since it uses less digits than its factorization.

3655872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 593 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 3655872 is about 1912.0334725104. The cubic root of 3655872 is about 154.0506945039.

The spelling of 3655872 in words is "three million, six hundred fifty-five thousand, eight hundred seventy-two".