383963616 has 72 divisors (see below), whose sum is σ = 1094773680. Its totient is φ = 127650816.

The previous prime is 383963611. The next prime is 383963627. The reversal of 383963616 is 616369383.

383963616 is a `hidden beast` number, since 3 + 8 + 3 + 9 + 636 + 1 + 6 = 666.

383963616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

383963616 is a nontrivial binomial coefficient, being equal to C(27712, 2).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (383963611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123165 + ... + 126243.

It is an arithmetic number, because the mean of its divisors is an integer number (15205190).

Almost surely, 2^383963616 is an apocalyptic number.

383963616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

383963616 is the 27711-st triangular number and also the 13856-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383963616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547386840).

383963616 is an abundant number, since it is smaller than the sum of its proper divisors (710810064).

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

383963616 is a wasteful number, since it uses less digits than its factorization.

383963616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3517 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 383963616 is about 19594.9895636614. The cubic root of 383963616 is about 726.8252801176.

The spelling of 383963616 in words is "three hundred eighty-three million, nine hundred sixty-three thousand, six hundred sixteen".