3829312400 has 120 divisors (see below), whose sum is σ = 9412418400. Its totient is φ = 1496678400.

The previous prime is 3829312391. The next prime is 3829312423. The reversal of 3829312400 is 42139283.

It is a happy number.

3829312400 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 23 ways as a sum of consecutive naturals, for example, 4979216 + ... + 4979984.

It is an arithmetic number, because the mean of its divisors is an integer number (78436820).

Almost surely, 2^3829312400 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 3829312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4706209200).

3829312400 is an abundant number, since it is smaller than the sum of its proper divisors (5583106000).

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

3829312400 is a wasteful number, since it uses less digits than its factorization.

3829312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 3829312400 is about 61881.4382509004. The cubic root of 3829312400 is about 1564.4929100507.

The spelling of 3829312400 in words is "three billion, eight hundred twenty-nine million, three hundred twelve thousand, four hundred".