3846268800 has 960 divisors, whose sum is σ = 16528406400. Its totient is φ = 870912000.

The previous prime is 3846268763. The next prime is 3846268831. The reversal of 3846268800 is 88626483.

It is a happy number.

3846268800 is a `hidden beast` number, since 384 + 6 + 268 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 54172765 + ... + 54172835.

It is an arithmetic number, because the mean of its divisors is an integer number (17217090).

Almost surely, 2^3846268800 is an apocalyptic number.

3846268800 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 3846268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8264203200).

3846268800 is an abundant number, since it is smaller than the sum of its proper divisors (12682137600).

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

3846268800 is a wasteful number, since it uses less digits than its factorization.

3846268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3846268800 is about 62018.2940752162. The cubic root of 3846268800 is about 1566.7987293734.

The spelling of 3846268800 in words is "three billion, eight hundred forty-six million, two hundred sixty-eight thousand, eight hundred".