3765000 has 80 divisors (see below), whose sum is σ = 11808720. Its totient is φ = 1000000.

The previous prime is 3764993. The next prime is 3765011. The reversal of 3765000 is 5673.

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, 14875 + ... + 15125.

It is an arithmetic number, because the mean of its divisors is an integer number (147609).

Almost surely, 2^3765000 is an apocalyptic number.

3765000 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 3765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5904360).

3765000 is an abundant number, since it is smaller than the sum of its proper divisors (8043720).

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

3765000 is a wasteful number, since it uses less digits than its factorization.

3765000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 3765000 is about 1940.3607911932. The cubic root of 3765000 is about 155.5684985451.

The spelling of 3765000 in words is "three million, seven hundred sixty-five thousand".