3688146 has 64 divisors (see below), whose sum is σ = 10229760. Its totient is φ = 956880.

The previous prime is 3688141. The next prime is 3688151. The reversal of 3688146 is 6418863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3688141) and next prime (3688151).

It is a self number, because there is not a number n which added to its sum of digits gives 3688146.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3715 + ... + 4601.

It is an arithmetic number, because the mean of its divisors is an integer number (159840).

Almost surely, 2^3688146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3688146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114880).

3688146 is an abundant number, since it is smaller than the sum of its proper divisors (6541614).

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

3688146 is a wasteful number, since it uses less digits than its factorization.

3688146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 910 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 3688146 is about 1920.4546336740. The cubic root of 3688146 is about 154.5026863516.

The spelling of 3688146 in words is "three million, six hundred eighty-eight thousand, one hundred forty-six".