3851326800 has 360 divisors, whose sum is σ = 13883720760. Its totient is φ = 987955200.

The previous prime is 3851326789. The next prime is 3851326813. The reversal of 3851326800 is 86231583.

3851326800 is a `hidden beast` number, since 385 + 13 + 268 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3074924304 + 776402496 = 55452^2 + 27864^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14317066 + ... + 14317334.

It is an arithmetic number, because the mean of its divisors is an integer number (38565891).

Almost surely, 2^3851326800 is an apocalyptic number.

3851326800 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 3851326800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6941860380).

3851326800 is an abundant number, since it is smaller than the sum of its proper divisors (10032393960).

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

3851326800 is a wasteful number, since it uses less digits than its factorization.

3851326800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3851326800 is about 62059.0589680507. The cubic root of 3851326800 is about 1567.4852298998.

The spelling of 3851326800 in words is "three billion, eight hundred fifty-one million, three hundred twenty-six thousand, eight hundred".