3688280 has 64 divisors (see below), whose sum is σ = 9158400. Its totient is φ = 1330560.

The previous prime is 3688277. The next prime is 3688301. The reversal of 3688280 is 828863.

It is a self number, because there is not a number n which added to its sum of digits gives 3688280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17375 + ... + 17585.

It is an arithmetic number, because the mean of its divisors is an integer number (143100).

Almost surely, 2^3688280 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 3688280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579200).

3688280 is an abundant number, since it is smaller than the sum of its proper divisors (5470120).

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

3688280 is a wasteful number, since it uses less digits than its factorization.

3688280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 3688280 is about 1920.4895209295. The cubic root of 3688280 is about 154.5045574913.

The spelling of 3688280 in words is "three million, six hundred eighty-eight thousand, two hundred eighty".