3862400 has 96 divisors (see below), whose sum is σ = 10244880. Its totient is φ = 1433600.

The previous prime is 3862373. The next prime is 3862403. The reversal of 3862400 is 42683.

It is a happy number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3862403) 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, 54365 + ... + 54435.

Almost surely, 2^3862400 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 3862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122440).

3862400 is an abundant number, since it is smaller than the sum of its proper divisors (6382480).

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

3862400 is a wasteful number, since it uses less digits than its factorization.

3862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3862400 is about 1965.2989594461. The cubic root of 3862400 is about 156.8986052002.

The spelling of 3862400 in words is "three million, eight hundred sixty-two thousand, four hundred".