3697872 has 40 divisors (see below), whose sum is σ = 9791040. Its totient is φ = 1201920.

The previous prime is 3697867. The next prime is 3697907. The reversal of 3697872 is 2787963.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1029 + ... + 2907.

It is an arithmetic number, because the mean of its divisors is an integer number (244776).

Almost surely, 2^3697872 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 3697872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895520).

3697872 is an abundant number, since it is smaller than the sum of its proper divisors (6093168).

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

3697872 is a wasteful number, since it uses less digits than its factorization.

3697872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1925 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 3697872 is about 1922.9851793501. The cubic root of 3697872 is about 154.6383800166.

Subtracting from 3697872 its reverse (2787963), we obtain a palindrome (909909).

The spelling of 3697872 in words is "three million, six hundred ninety-seven thousand, eight hundred seventy-two".