3866100 has 108 divisors (see below), whose sum is σ = 13061664. Its totient is φ = 880320.

The previous prime is 3866099. The next prime is 3866117. The reversal of 3866100 is 16683.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14569 + ... + 14831.

Almost surely, 2^3866100 is an apocalyptic number.

3866100 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 3866100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530832).

3866100 is an abundant number, since it is smaller than the sum of its proper divisors (9195564).

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

3866100 is a wasteful number, since it uses less digits than its factorization.

3866100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3866100 is about 1966.2400667263. The cubic root of 3866100 is about 156.9486897388.

The spelling of 3866100 in words is "three million, eight hundred sixty-six thousand, one hundred".