3806800 has 60 divisors (see below), whose sum is σ = 9471616. Its totient is φ = 1468800.

The previous prime is 3806767. The next prime is 3806837. The reversal of 3806800 is 86083.

3806800 = T₄₈₀ + T₄₈₁ + ... + T₅₁₀.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12247 + ... + 12553.

Almost surely, 2^3806800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3806800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735808).

3806800 is an abundant number, since it is smaller than the sum of its proper divisors (5664816).

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

3806800 is a wasteful number, since it uses less digits than its factorization.

3806800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 3806800 is about 1951.1022525742. The cubic root of 3806800 is about 156.1421015078.

The spelling of 3806800 in words is "three million, eight hundred six thousand, eight hundred".