3898283200 has 252 divisors, whose sum is σ = 11750055240. Its totient is φ = 1265725440.

The previous prime is 3898283183. The next prime is 3898283231. The reversal of 3898283200 is 23828983.

It is a super-2 number, since 2×3898283200² = 30393223814804480000, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 1488292 + ... + 1490908.

Almost surely, 2^3898283200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3898283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875027620).

3898283200 is an abundant number, since it is smaller than the sum of its proper divisors (7851772040).

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

3898283200 is a wasteful number, since it uses less digits than its factorization.

3898283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 3898283200 is about 62436.2330702293. The cubic root of 3898283200 is about 1573.8299128359.

The spelling of 3898283200 in words is "three billion, eight hundred ninety-eight million, two hundred eighty-three thousand, two hundred".