3812616 has 64 divisors (see below), whose sum is σ = 11160000. Its totient is φ = 1202688.

The previous prime is 3812603. The next prime is 3812617. The reversal of 3812616 is 6162183.

3812616 is a `hidden beast` number, since 38 + 12 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3812616.

It is not an unprimeable number, because it can be changed into a prime (3812617) 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, 3640 + ... + 4568.

It is an arithmetic number, because the mean of its divisors is an integer number (174375).

Almost surely, 2^3812616 is an apocalyptic number.

3812616 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 3812616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580000).

3812616 is an abundant number, since it is smaller than the sum of its proper divisors (7347384).

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

3812616 is a wasteful number, since it uses less digits than its factorization.

3812616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 953 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 3812616 is about 1952.5921233069. The cubic root of 3812616 is about 156.2215786172.

Adding to 3812616 its reverse (6162183), we get a palindrome (9974799).

It can be divided in two parts, 38126 and 16, that multiplied together give a palindrome (610016).

The spelling of 3812616 in words is "three million, eight hundred twelve thousand, six hundred sixteen".