381666432 has 128 divisors (see below), whose sum is σ = 1170339840. Its totient is φ = 107947008.

The previous prime is 381666413. The next prime is 381666437. The reversal of 381666432 is 234666183.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×381666432² = 291338530631221248, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381666437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286953 + ... + 288279.

It is an arithmetic number, because the mean of its divisors is an integer number (9143280).

Almost surely, 2^381666432 is an apocalyptic number.

381666432 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 381666432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585169920).

381666432 is an abundant number, since it is smaller than the sum of its proper divisors (788673408).

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

381666432 is a wasteful number, since it uses less digits than its factorization.

381666432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1446 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 381666432 is about 19536.2850102060. The cubic root of 381666432 is about 725.3728922821.

The spelling of 381666432 in words is "three hundred eighty-one million, six hundred sixty-six thousand, four hundred thirty-two".