3838800 has 120 divisors (see below), whose sum is σ = 14084416. Its totient is φ = 875520.

The previous prime is 3838777. The next prime is 3838801. The reversal of 3838800 is 88383.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3838801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8172 + ... + 8628.

Almost surely, 2^3838800 is an apocalyptic number.

3838800 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 3838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7042208).

3838800 is an abundant number, since it is smaller than the sum of its proper divisors (10245616).

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

3838800 is a wasteful number, since it uses less digits than its factorization.

3838800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3838800 is about 1959.2855840842. The cubic root of 3838800 is about 156.5783919988.

The spelling of 3838800 in words is "three million, eight hundred thirty-eight thousand, eight hundred".