3807000 has 160 divisors (see below), whose sum is σ = 13590720. Its totient is φ = 993600.

The previous prime is 3806981. The next prime is 3807053. The reversal of 3807000 is 7083.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 80977 + ... + 81023.

It is an arithmetic number, because the mean of its divisors is an integer number (84942).

Almost surely, 2^3807000 is an apocalyptic number.

3807000 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 3807000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6795360).

3807000 is an abundant number, since it is smaller than the sum of its proper divisors (9783720).

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

3807000 is a wasteful number, since it uses less digits than its factorization.

3807000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 3807000 is about 1951.1535049811. The cubic root of 3807000 is about 156.1448359018.

The spelling of 3807000 in words is "three million, eight hundred seven thousand".