3828490900 has 72 divisors (see below), whose sum is σ = 9011680160. Its totient is φ = 1403360640.

The previous prime is 3828490877. The next prime is 3828490903. The reversal of 3828490900 is 90948283.

It is a happy number.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3828490903) 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, 170107 + ... + 191293.

Almost surely, 2^3828490900 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 3828490900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505840080).

3828490900 is an abundant number, since it is smaller than the sum of its proper divisors (5183189260).

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

3828490900 is a wasteful number, since it uses less digits than its factorization.

3828490900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21353 (or 21346 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 3828490900 is about 61874.8002016976. The cubic root of 3828490900 is about 1564.3810254869.

The spelling of 3828490900 in words is "three billion, eight hundred twenty-eight million, four hundred ninety thousand, nine hundred".