3829334400 has 768 divisors, whose sum is σ = 15299020800. Its totient is φ = 932659200.

The previous prime is 3829334393. The next prime is 3829334401. The reversal of 3829334400 is 44339283.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3829334401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81475177 + ... + 81475223.

It is an arithmetic number, because the mean of its divisors is an integer number (19920600).

Almost surely, 2^3829334400 is an apocalyptic number.

3829334400 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 3829334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7649510400).

3829334400 is an abundant number, since it is smaller than the sum of its proper divisors (11469686400).

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

3829334400 is a wasteful number, since it uses less digits than its factorization.

3829334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3829334400 is about 61881.6160099266. The cubic root of 3829334400 is about 1564.4959061307.

The spelling of 3829334400 in words is "three billion, eight hundred twenty-nine million, three hundred thirty-four thousand, four hundred".