3829132800 has 360 divisors, whose sum is σ = 14040233064. Its totient is φ = 996065280.

The previous prime is 3829132799. The next prime is 3829132807. The reversal of 3829132800 is 82319283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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 (3829132807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4953214 + ... + 4953986.

Almost surely, 2^3829132800 is an apocalyptic number.

3829132800 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 3829132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020116532).

3829132800 is an abundant number, since it is smaller than the sum of its proper divisors (10211100264).

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

3829132800 is a wasteful number, since it uses less digits than its factorization.

3829132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3829132800 is about 61879.9870717504. The cubic root of 3829132800 is about 1564.4684507144.

The spelling of 3829132800 in words is "three billion, eight hundred twenty-nine million, one hundred thirty-two thousand, eight hundred".