3832012800 has 1008 divisors, whose sum is σ = 17747114112. Its totient is φ = 796262400.

The previous prime is 3832012787. The next prime is 3832012801. The reversal of 3832012800 is 82102383.

It is a Jordan-Polya number, since it can be written as 12! ⋅ (2!)³.

3832012800 is a `hidden beast` number, since 383 + 2 + 0 + 1 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3832012801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 348364795 + ... + 348364805.

It is an arithmetic number, because the mean of its divisors is an integer number (17606264).

Almost surely, 2^3832012800 is an apocalyptic number.

3832012800 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 3832012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8873557056).

3832012800 is an abundant number, since it is smaller than the sum of its proper divisors (13915101312).

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

3832012800 is an equidigital number, since it uses as much as digits as its factorization.

3832012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3832012800 is about 61903.2535493895. The cubic root of 3832012800 is about 1564.8605795358.

The spelling of 3832012800 in words is "three billion, eight hundred thirty-two million, twelve thousand, eight hundred".