381272832 has 162 divisors, whose sum is σ = 1146555228. Its totient is φ = 126531072.

The previous prime is 381272777. The next prime is 381272833. The reversal of 381272832 is 238272183.

It is a happy number.

381272832 is a `hidden beast` number, since 381 + 272 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (162).

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 (381272833) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1679503 + ... + 1679729.

Almost surely, 2^381272832 is an apocalyptic number.

381272832 is a gapful number since it is divisible by the number (32) 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 381272832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573277614).

381272832 is an abundant number, since it is smaller than the sum of its proper divisors (765282396).

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

381272832 is an frugal number, since it uses more digits than its factorization.

381272832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 232 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 381272832 is about 19526.2088486219. The cubic root of 381272832 is about 725.1234554726.

The spelling of 381272832 in words is "three hundred eighty-one million, two hundred seventy-two thousand, eight hundred thirty-two".