3853780800 has 168 divisors, whose sum is σ = 12692762016. Its totient is φ = 1023682560.

The previous prime is 3853780789. The next prime is 3853780829. The reversal of 3853780800 is 80873583.

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 23 ways as a sum of consecutive naturals, for example, 1356982 + ... + 1359818.

Almost surely, 2^3853780800 is an apocalyptic number.

3853780800 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 3853780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6346381008).

3853780800 is an abundant number, since it is smaller than the sum of its proper divisors (8838981216).

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

3853780800 is a wasteful number, since it uses less digits than its factorization.

3853780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 3853780800 is about 62078.8273085116. The cubic root of 3853780800 is about 1567.8180841987.

The spelling of 3853780800 in words is "three billion, eight hundred fifty-three million, seven hundred eighty thousand, eight hundred".