383280334200 has 288 divisors, whose sum is σ = 1305899899200. Its totient is φ = 100726778880.

The previous prime is 383280334181. The next prime is 383280334231. The reversal of 383280334200 is 2433082383.

It is a happy number.

383280334200 is a `hidden beast` number, since 38 + 3 + 280 + 3 + 342 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87166402 + ... + 87170798.

It is an arithmetic number, because the mean of its divisors is an integer number (4534374650).

Almost surely, 2^383280334200 is an apocalyptic number.

383280334200 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 383280334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652949949600).

383280334200 is an abundant number, since it is smaller than the sum of its proper divisors (922619565000).

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

383280334200 is a wasteful number, since it uses less digits than its factorization.

383280334200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111 (or 5099 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 383280334200 in words is "three hundred eighty-three billion, two hundred eighty million, three hundred thirty-four thousand, two hundred".