383436816 has 80 divisors (see below), whose sum is σ = 1136498688. Its totient is φ = 109123200.

The previous prime is 383436803. The next prime is 383436817. The reversal of 383436816 is 618634383.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (383436817) 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, 88951 + ... + 93161.

Almost surely, 2^383436816 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 383436816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568249344).

383436816 is an abundant number, since it is smaller than the sum of its proper divisors (753061872).

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

383436816 is a wasteful number, since it uses less digits than its factorization.

383436816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4500 (or 4494 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 383436816 is about 19581.5427379969. The cubic root of 383436816 is about 726.4927253434.

The spelling of 383436816 in words is "three hundred eighty-three million, four hundred thirty-six thousand, eight hundred sixteen".