382121388 has 216 divisors, whose sum is σ = 1163452080. Its totient is φ = 109699920.

The previous prime is 382121357. The next prime is 382121401. The reversal of 382121388 is 883121283.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

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, 20111643 + ... + 20111661.

Almost surely, 2^382121388 is an apocalyptic number.

382121388 is a gapful number since it is divisible by the number (38) 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 382121388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581726040).

382121388 is an abundant number, since it is smaller than the sum of its proper divisors (781330692).

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

382121388 is a wasteful number, since it uses less digits than its factorization.

382121388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 35 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 382121388 is about 19547.9254142223. The cubic root of 382121388 is about 725.6609987549.

The spelling of 382121388 in words is "three hundred eighty-two million, one hundred twenty-one thousand, three hundred eighty-eight".