3676608 has 84 divisors (see below), whose sum is σ = 11372088. Its totient is φ = 1128960.

The previous prime is 3676597. The next prime is 3676609. The reversal of 3676608 is 8066763.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3676609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7243 + ... + 7733.

It is an arithmetic number, because the mean of its divisors is an integer number (135382).

Almost surely, 2^3676608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3676608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5686044).

3676608 is an abundant number, since it is smaller than the sum of its proper divisors (7695480).

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

3676608 is a wasteful number, since it uses less digits than its factorization.

3676608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3676608 is about 1917.4483043879. The cubic root of 3676608 is about 154.3414025898.

The spelling of 3676608 in words is "three million, six hundred seventy-six thousand, six hundred eight".