3641616 has 120 divisors (see below), whose sum is σ = 11799840. Its totient is φ = 1045440.

The previous prime is 3641611. The next prime is 3641623. The reversal of 3641616 is 6161463.

3641616 is a `hidden beast` number, since 3 + 6 + 41 + 616 = 666.

It is a super-2 number, since 2×3641616² = 26522734182912, which contains 22 as substring.

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 3641616.

It is not an unprimeable number, because it can be changed into a prime (3641611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191655 + ... + 191673.

It is an arithmetic number, because the mean of its divisors is an integer number (98332).

Almost surely, 2^3641616 is an apocalyptic number.

3641616 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 3641616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899920).

3641616 is an abundant number, since it is smaller than the sum of its proper divisors (8158224).

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

3641616 is a wasteful number, since it uses less digits than its factorization.

3641616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 35 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 3641616 is about 1908.3018629137. The cubic root of 3641616 is about 153.8501944580.

It can be divided in two parts, 36 and 41616, that multiplied together give a square (1498176 = 1224²).

The spelling of 3641616 in words is "three million, six hundred forty-one thousand, six hundred sixteen".