383998195200 has 240 divisors, whose sum is σ = 1302803021520. Its totient is φ = 99631595520.

The previous prime is 383998195127. The next prime is 383998195201. The reversal of 383998195200 is 2591899383.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×383998195200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383998195201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1285666 + ... + 1555934.

It is an arithmetic number, because the mean of its divisors is an integer number (5428345923).

Almost surely, 2^383998195200 is an apocalyptic number.

383998195200 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 383998195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651401510760).

383998195200 is an abundant number, since it is smaller than the sum of its proper divisors (918804826320).

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

383998195200 is a wasteful number, since it uses less digits than its factorization.

383998195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270337 (or 270316 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The spelling of 383998195200 in words is "three hundred eighty-three billion, nine hundred ninety-eight million, one hundred ninety-five thousand, two hundred".