3898435200 has 768 divisors, whose sum is σ = 15481152000. Its totient is φ = 851558400.

The previous prime is 3898435187. The next prime is 3898435243. The reversal of 3898435200 is 25348983.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58185567 + ... + 58185633.

It is an arithmetic number, because the mean of its divisors is an integer number (20157750).

Almost surely, 2^3898435200 is an apocalyptic number.

3898435200 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 3898435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7740576000).

3898435200 is an abundant number, since it is smaller than the sum of its proper divisors (11582716800).

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

3898435200 is a wasteful number, since it uses less digits than its factorization.

3898435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3898435200 is about 62437.4503002805. The cubic root of 3898435200 is about 1573.8503679119.

The spelling of 3898435200 in words is "three billion, eight hundred ninety-eight million, four hundred thirty-five thousand, two hundred".