3842900 has 36 divisors (see below), whose sum is σ = 8457792. Its totient is φ = 1515360.

The previous prime is 3842899. The next prime is 3842903. The reversal of 3842900 is 92483.

3842900 = 380² + 381² + ... + 404².

3842900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3842900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3842903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8069 + ... + 8531.

Almost surely, 2^3842900 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 3842900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228896).

3842900 is an abundant number, since it is smaller than the sum of its proper divisors (4614892).

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

3842900 is a wasteful number, since it uses less digits than its factorization.

3842900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 3842900 is about 1960.3316046016. The cubic root of 3842900 is about 156.6341162696.

The spelling of 3842900 in words is "three million, eight hundred forty-two thousand, nine hundred".