3188800398 has 64 divisors (see below), whose sum is σ = 7815260160. Its totient is φ = 846623232.

The previous prime is 3188800397. The next prime is 3188800403. The reversal of 3188800398 is 8930088813.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3188800393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28140 + ... + 84672.

It is an arithmetic number, because the mean of its divisors is an integer number (122113440).

Almost surely, 2^3188800398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3188800398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907630080).

3188800398 is an abundant number, since it is smaller than the sum of its proper divisors (4626459762).

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

3188800398 is a wasteful number, since it uses less digits than its factorization.

3188800398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56641.

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 3188800398 is about 56469.4642970871. The cubic root of 3188800398 is about 1471.8914363336.

The spelling of 3188800398 in words is "three billion, one hundred eighty-eight million, eight hundred thousand, three hundred ninety-eight".