3828940800 has 408 divisors, whose sum is σ = 13652355360. Its totient is φ = 943718400.

The previous prime is 3828940783. The next prime is 3828940813. The reversal of 3828940800 is 80498283.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93388780 + ... + 93388820.

Almost surely, 2^3828940800 is an apocalyptic number.

3828940800 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 3828940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6826177680).

3828940800 is an abundant number, since it is smaller than the sum of its proper divisors (9823414560).

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

3828940800 is an equidigital number, since it uses as much as digits as its factorization.

3828940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 3828940800 is about 61878.4356621917. The cubic root of 3828940800 is about 1564.4423018030.

The spelling of 3828940800 in words is "three billion, eight hundred twenty-eight million, nine hundred forty thousand, eight hundred".