383999616 has 640 divisors, whose sum is σ = 1575826560. Its totient is φ = 89579520.

The previous prime is 383999599. The next prime is 383999639. The reversal of 383999616 is 616999383.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10378350 + ... + 10378386.

It is an arithmetic number, because the mean of its divisors is an integer number (2462229).

Almost surely, 2^383999616 is an apocalyptic number.

383999616 is a gapful number since it is divisible by the number (36) 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 383999616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787913280).

383999616 is an abundant number, since it is smaller than the sum of its proper divisors (1191826944).

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

383999616 is a wasteful number, since it uses less digits than its factorization.

383999616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 383999616 is about 19595.9081443040. The cubic root of 383999616 is about 726.8479948500.

It can be divided in two parts, 383 and 999616, that added together give a palindrome (999999).

The spelling of 383999616 in words is "three hundred eighty-three million, nine hundred ninety-nine thousand, six hundred sixteen".