3830900 has 36 divisors (see below), whose sum is σ = 8606220. Its totient is φ = 1478400.

The previous prime is 3830891. The next prime is 3830909. The reversal of 3830900 is 90383.

It is an interprime number because it is at equal distance from previous prime (3830891) and next prime (3830909).

It can be written as a sum of positive squares in 6 ways, for example, as 59536 + 3771364 = 244^2 + 1942^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3830909) 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, 2240 + ... + 3560.

Almost surely, 2^3830900 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 3830900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303110).

3830900 is an abundant number, since it is smaller than the sum of its proper divisors (4775320).

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

3830900 is a wasteful number, since it uses less digits than its factorization.

3830900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 3830900 is about 1957.2685048301. The cubic root of 3830900 is about 156.4709088615.

The spelling of 3830900 in words is "three million, eight hundred thirty thousand, nine hundred".