3676288 has 64 divisors (see below), whose sum is σ = 9155520. Its totient is φ = 1428480.

The previous prime is 3676279. The next prime is 3676289. The reversal of 3676288 is 8826763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3676288.

It is not an unprimeable number, because it can be changed into a prime (3676289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9670 + ... + 10042.

It is an arithmetic number, because the mean of its divisors is an integer number (143055).

Almost surely, 2^3676288 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 3676288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4577760).

3676288 is an abundant number, since it is smaller than the sum of its proper divisors (5479232).

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

3676288 is a wasteful number, since it uses less digits than its factorization.

3676288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 3676288 is about 1917.3648583407. The cubic root of 3676288 is about 154.3369246687.

The spelling of 3676288 in words is "three million, six hundred seventy-six thousand, two hundred eighty-eight".