383634144 has 120 divisors (see below), whose sum is σ = 1141620480. Its totient is φ = 126365184.

The previous prime is 383634143. The next prime is 383634151. The reversal of 383634144 is 441436383.

It is a happy number.

383634144 is a `hidden beast` number, since 3 + 8 + 3 + 634 + 14 + 4 = 666.

It is a super-2 number, since 2×383634144² = 294350312885225472, which contains 22 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 383634099 and 383634108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383634143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 229857 + ... + 231519.

It is an arithmetic number, because the mean of its divisors is an integer number (9513504).

Almost surely, 2^383634144 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 383634144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570810240).

383634144 is an abundant number, since it is smaller than the sum of its proper divisors (757986336).

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

383634144 is a wasteful number, since it uses less digits than its factorization.

383634144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1757 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 383634144 is about 19586.5807123142. The cubic root of 383634144 is about 726.6173288987.

The spelling of 383634144 in words is "three hundred eighty-three million, six hundred thirty-four thousand, one hundred forty-four".