3672537 has 16 divisors (see below), whose sum is σ = 5396160. Its totient is φ = 2203200.

The previous prime is 3672521. The next prime is 3672541. The reversal of 3672537 is 7352763.

It is not a de Polignac number, because 3672537 - 2⁴ = 3672521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

3672537 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3672498 and 3672507.

It is not an unprimeable number, because it can be changed into a prime (3672547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3087 + ... + 4107.

It is an arithmetic number, because the mean of its divisors is an integer number (337260).

Almost surely, 2^3672537 is an apocalyptic number.

It is an amenable number.

3672537 is a deficient number, since it is larger than the sum of its proper divisors (1723623).

3672537 is a wasteful number, since it uses less digits than its factorization.

3672537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144.

The product of its digits is 26460, while the sum is 33.

The square root of 3672537 is about 1916.3864432833. The cubic root of 3672537 is about 154.2844156514.

The spelling of 3672537 in words is "three million, six hundred seventy-two thousand, five hundred thirty-seven".