3841642800 has 180 divisors, whose sum is σ = 13384500480. Its totient is φ = 1020372480.

The previous prime is 3841642787. The next prime is 3841642801. The reversal of 3841642800 is 82461483.

3841642800 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 642 + 8 + 0 + 0 = 666.

3841642800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (3841642801) 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, 966417 + ... + 970383.

It is an arithmetic number, because the mean of its divisors is an integer number (74358336).

Almost surely, 2^3841642800 is an apocalyptic number.

3841642800 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 3841642800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6692250240).

3841642800 is an abundant number, since it is smaller than the sum of its proper divisors (9542857680).

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

3841642800 is a wasteful number, since it uses less digits than its factorization.

3841642800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3841642800 is about 61980.9874074300. The cubic root of 3841642800 is about 1566.1703352051.

The spelling of 3841642800 in words is "three billion, eight hundred forty-one million, six hundred forty-two thousand, eight hundred".