381638712 has 256 divisors, whose sum is σ = 1311206400. Its totient is φ = 89579520.

The previous prime is 381638711. The next prime is 381638713. The reversal of 381638712 is 217836183.

It is an interprime number because it is at equal distance from previous prime (381638711) and next prime (381638713).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 (381638711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 705162 + ... + 705702.

It is an arithmetic number, because the mean of its divisors is an integer number (5121900).

Almost surely, 2^381638712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381638712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655603200).

381638712 is an abundant number, since it is smaller than the sum of its proper divisors (929567688).

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

381638712 is a wasteful number, since it uses less digits than its factorization.

381638712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 602 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 381638712 is about 19535.5755482146. The cubic root of 381638712 is about 725.3553308535.

The spelling of 381638712 in words is "three hundred eighty-one million, six hundred thirty-eight thousand, seven hundred twelve".