3687000 has 64 divisors (see below), whose sum is σ = 11512800. Its totient is φ = 982400.

The previous prime is 3686999. The next prime is 3687029. The reversal of 3687000 is 7863.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2386 + ... + 3614.

Almost surely, 2^3687000 is an apocalyptic number.

3687000 is a gapful number since it is divisible by the number (30) 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 3687000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756400).

3687000 is an abundant number, since it is smaller than the sum of its proper divisors (7825800).

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

3687000 is a wasteful number, since it uses less digits than its factorization.

3687000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3687000 is about 1920.1562436427. The cubic root of 3687000 is about 154.4866820665.

The spelling of 3687000 in words is "three million, six hundred eighty-seven thousand".