3829300800 has 336 divisors, whose sum is σ = 13678082880. Its totient is φ = 932290560.

The previous prime is 3829300799. The next prime is 3829300861. The reversal of 3829300800 is 80039283.

3829300800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6801319 + ... + 6801881.

It is an arithmetic number, because the mean of its divisors is an integer number (40708580).

Almost surely, 2^3829300800 is an apocalyptic number.

3829300800 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 3829300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6839041440).

3829300800 is an abundant number, since it is smaller than the sum of its proper divisors (9848782080).

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

3829300800 is a wasteful number, since it uses less digits than its factorization.

3829300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3829300800 is about 61881.3445232083. The cubic root of 3829300800 is about 1564.4913302949.

The spelling of 3829300800 in words is "three billion, eight hundred twenty-nine million, three hundred thousand, eight hundred".