3860800 has 84 divisors (see below), whose sum is σ = 10078720. Its totient is φ = 1451520.

The previous prime is 3860777. The next prime is 3860807. The reversal of 3860800 is 80683.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3860807) 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, 30337 + ... + 30463.

Almost surely, 2^3860800 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 3860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039360).

3860800 is an abundant number, since it is smaller than the sum of its proper divisors (6217920).

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

3860800 is a wasteful number, since it uses less digits than its factorization.

3860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 153 counting only the distinct ones).

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

The square root of 3860800 is about 1964.8918545304. The cubic root of 3860800 is about 156.8769371146.

It can be divided in two parts, 38 and 60800, that multiplied together give a square (2310400 = 1520²).

The spelling of 3860800 in words is "three million, eight hundred sixty thousand, eight hundred".