3829401300 has 72 divisors (see below), whose sum is σ = 11731499136. Its totient is φ = 961103360.

The previous prime is 3829401241. The next prime is 3829401311. The reversal of 3829401300 is 31049283.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 370332 + ... + 380531.

It is an arithmetic number, because the mean of its divisors is an integer number (162937488).

Almost surely, 2^3829401300 is an apocalyptic number.

3829401300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3829401300 is an abundant number, since it is smaller than the sum of its proper divisors (7902097836).

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

3829401300 is a wasteful number, since it uses less digits than its factorization.

3829401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750897 (or 750890 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3829401300 is about 61882.1565558279. The cubic root of 3829401300 is about 1564.5050168669.

The spelling of 3829401300 in words is "three billion, eight hundred twenty-nine million, four hundred one thousand, three hundred".