3873900 has 72 divisors (see below), whose sum is σ = 11544400. Its totient is φ = 1002240.

The previous prime is 3873893. The next prime is 3873901. The reversal of 3873900 is 93783.

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

It is not an unprimeable number, because it can be changed into a prime (3873901) 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, 10926 + ... + 11274.

Almost surely, 2^3873900 is an apocalyptic number.

3873900 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 3873900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5772200).

3873900 is an abundant number, since it is smaller than the sum of its proper divisors (7670500).

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

3873900 is a wasteful number, since it uses less digits than its factorization.

3873900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 3873900 is about 1968.2225483923. Note that the first 3 decimals coincide. The cubic root of 3873900 is about 157.0541687669.

The spelling of 3873900 in words is "three million, eight hundred seventy-three thousand, nine hundred".