3839616 has 128 divisors (see below), whose sum is σ = 12484800. Its totient is φ = 1152000.

The previous prime is 3839611. The next prime is 3839621. The reversal of 3839616 is 6169383.

It is a happy number.

3839616 is a `hidden beast` number, since 3 + 8 + 39 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (3839611) and next prime (3839621).

It is a tau number, because it is divible by the number of its divisors (128).

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 not an unprimeable number, because it can be changed into a prime (3839611) 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, 37966 + ... + 38066.

Almost surely, 2^3839616 is an apocalyptic number.

3839616 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 3839616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6242400).

3839616 is an abundant number, since it is smaller than the sum of its proper divisors (8645184).

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

3839616 is a wasteful number, since it uses less digits than its factorization.

3839616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3839616 is about 1959.4938121872. The cubic root of 3839616 is about 156.5894856492.

It can be divided in two parts, 383 and 9616, that added together give a palindrome (9999).

The spelling of 3839616 in words is "three million, eight hundred thirty-nine thousand, six hundred sixteen".