3853946880 has 624 divisors, whose sum is σ = 15946894080. Its totient is φ = 842268672.

The previous prime is 3853946857. The next prime is 3853946917. The reversal of 3853946880 is 886493583.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37416909 + ... + 37417011.

It is an arithmetic number, because the mean of its divisors is an integer number (25555920).

Almost surely, 2^3853946880 is an apocalyptic number.

3853946880 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 3853946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7973447040).

3853946880 is an abundant number, since it is smaller than the sum of its proper divisors (12092947200).

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

3853946880 is a wasteful number, since it uses less digits than its factorization.

3853946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 3853946880 is about 62080.1649482345. The cubic root of 3853946880 is about 1567.8406057605.

The spelling of 3853946880 in words is "three billion, eight hundred fifty-three million, nine hundred forty-six thousand, eight hundred eighty".