3899198400 has 168 divisors, whose sum is σ = 13105296624. Its totient is φ = 1014374400.

The previous prime is 3899198399. The next prime is 3899198437. The reversal of 3899198400 is 48919983.

It is a happy number.

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, 186894 + ... + 206706.

It is an arithmetic number, because the mean of its divisors is an integer number (78007718).

Almost surely, 2^3899198400 is an apocalyptic number.

3899198400 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 3899198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552648312).

3899198400 is an abundant number, since it is smaller than the sum of its proper divisors (9206098224).

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

3899198400 is a wasteful number, since it uses less digits than its factorization.

3899198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19879 (or 19864 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The square root of 3899198400 is about 62443.5617177624. The cubic root of 3899198400 is about 1573.9530658889.

The spelling of 3899198400 in words is "three billion, eight hundred ninety-nine million, one hundred ninety-eight thousand, four hundred".