3846057600 has 768 divisors, whose sum is σ = 16294671360. Its totient is φ = 780595200.

The previous prime is 3846057599. The next prime is 3846057619. The reversal of 3846057600 is 67506483.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89443179 + ... + 89443221.

It is an arithmetic number, because the mean of its divisors is an integer number (21217020).

Almost surely, 2^3846057600 is an apocalyptic number.

3846057600 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 3846057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8147335680).

3846057600 is an abundant number, since it is smaller than the sum of its proper divisors (12448613760).

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

3846057600 is a wasteful number, since it uses less digits than its factorization.

3846057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 3846057600 is about 62016.5913284502. The cubic root of 3846057600 is about 1566.7700510217.

The spelling of 3846057600 in words is "three billion, eight hundred forty-six million, fifty-seven thousand, six hundred".