3200198400 has 324 divisors, whose sum is σ = 13077569232. Its totient is φ = 731381760.

The previous prime is 3200198377. The next prime is 3200198423. The reversal of 3200198400 is 48910023.

It is an interprime number because it is at equal distance from previous prime (3200198377) and next prime (3200198423).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 399232 + ... + 407168.

It is an arithmetic number, because the mean of its divisors is an integer number (40362868).

Almost surely, 2^3200198400 is an apocalyptic number.

3200198400 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 3200198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538784616).

3200198400 is an abundant number, since it is smaller than the sum of its proper divisors (9877370832).

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

3200198400 is a wasteful number, since it uses less digits than its factorization.

3200198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7976 (or 7954 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3200198400 is about 56570.2960925608. The cubic root of 3200198400 is about 1473.6430534872.

The spelling of 3200198400 in words is "three billion, two hundred million, one hundred ninety-eight thousand, four hundred".