3806300 has 36 divisors (see below), whose sum is σ = 8749440. Its totient is φ = 1432320.

The previous prime is 3806291. The next prime is 3806303. The reversal of 3806300 is 36083.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3806303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 581 + ... + 2819.

It is an arithmetic number, because the mean of its divisors is an integer number (243040).

Almost surely, 2^3806300 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 3806300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374720).

3806300 is an abundant number, since it is smaller than the sum of its proper divisors (4943140).

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

3806300 is a wasteful number, since it uses less digits than its factorization.

3806300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3806300 is about 1950.9741156663. The cubic root of 3806300 is about 156.1352651037.

It can be divided in two parts, 3 and 806300, that multiplied together give a triangular number (2418900 = T₂₁₉₉).

The spelling of 3806300 in words is "three million, eight hundred six thousand, three hundred".