3786000 has 80 divisors (see below), whose sum is σ = 12225408. Its totient is φ = 1008000.

The previous prime is 3785993. The next prime is 3786011. The reversal of 3786000 is 6873.

It is a tau number, because it is divible by the number of its divisors (80).

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

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, 5685 + ... + 6315.

Almost surely, 2^3786000 is an apocalyptic number.

3786000 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 3786000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112704).

3786000 is an abundant number, since it is smaller than the sum of its proper divisors (8439408).

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

3786000 is a wasteful number, since it uses less digits than its factorization.

3786000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 641 counting only the distinct ones).

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

The square root of 3786000 is about 1945.7646311926. The cubic root of 3786000 is about 155.8572000265.

The spelling of 3786000 in words is "three million, seven hundred eighty-six thousand".