3672500 has 60 divisors (see below), whose sum is σ = 8725332. Its totient is φ = 1344000.

The previous prime is 3672499. The next prime is 3672511. The reversal of 3672500 is 52763.

It can be written as a sum of positive squares in 10 ways, for example, as 3671056 + 1444 = 1916^2 + 38^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32444 + ... + 32556.

Almost surely, 2^3672500 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 3672500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362666).

3672500 is an abundant number, since it is smaller than the sum of its proper divisors (5052832).

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

3672500 is a wasteful number, since it uses less digits than its factorization.

With its successor (3672501) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (150).

3672500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 3672500 is about 1916.3767896737. The cubic root of 3672500 is about 154.2838975225.

The spelling of 3672500 in words is "three million, six hundred seventy-two thousand, five hundred".