381538080 has 768 divisors, whose sum is σ = 1765048320. Its totient is φ = 74649600.

The previous prime is 381538061. The next prime is 381538081. The reversal of 381538080 is 80835183.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (381538081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10311822 + ... + 10311858.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 2^381538080 is an apocalyptic number.

381538080 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 381538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882524160).

381538080 is an abundant number, since it is smaller than the sum of its proper divisors (1383510240).

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

381538080 is a wasteful number, since it uses less digits than its factorization.

381538080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 381538080 is about 19532.9997696206. Note that the first 3 decimals coincide. The cubic root of 381538080 is about 725.2915703980.

The spelling of 381538080 in words is "three hundred eighty-one million, five hundred thirty-eight thousand, eighty".