3821146800 has 240 divisors, whose sum is σ = 12856796160. Its totient is φ = 968832000.

The previous prime is 3821146793. The next prime is 3821146853. The reversal of 3821146800 is 86411283.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2193930 + ... + 2195670.

It is an arithmetic number, because the mean of its divisors is an integer number (53569984).

Almost surely, 2^3821146800 is an apocalyptic number.

3821146800 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 3821146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428398080).

3821146800 is an abundant number, since it is smaller than the sum of its proper divisors (9035649360).

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

3821146800 is a wasteful number, since it uses less digits than its factorization.

3821146800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 3821146800 is about 61815.4252593962. The cubic root of 3821146800 is about 1563.3800806268.

The spelling of 3821146800 in words is "three billion, eight hundred twenty-one million, one hundred forty-six thousand, eight hundred".