3850800 has 60 divisors (see below), whose sum is σ = 12339240. Its totient is φ = 1026560.

The previous prime is 3850723. The next prime is 3850811. The reversal of 3850800 is 80583.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 405 + ... + 2804.

It is an arithmetic number, because the mean of its divisors is an integer number (205654).

Almost surely, 2^3850800 is an apocalyptic number.

3850800 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 3850800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169620).

3850800 is an abundant number, since it is smaller than the sum of its proper divisors (8488440).

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

3850800 is a wasteful number, since it uses less digits than its factorization.

3850800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 3850800 is about 1962.3455353225. The cubic root of 3850800 is about 156.7413757659.

The spelling of 3850800 in words is "three million, eight hundred fifty thousand, eight hundred".