3662280 has 64 divisors (see below), whose sum is σ = 12211200. Its totient is φ = 976320.

The previous prime is 3662249. The next prime is 3662311. The reversal of 3662280 is 822663.

3662280 is a `hidden beast` number, since 36 + 622 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3662249) and next prime (3662311).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 616 + ... + 2775.

It is an arithmetic number, because the mean of its divisors is an integer number (190800).

Almost surely, 2^3662280 is an apocalyptic number.

3662280 is a gapful number since it is divisible by the number (30) 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 3662280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6105600).

3662280 is an abundant number, since it is smaller than the sum of its proper divisors (8548920).

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

3662280 is a wasteful number, since it uses less digits than its factorization.

3662280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3662280 is about 1913.7084417434. The cubic root of 3662280 is about 154.1406484783.

The spelling of 3662280 in words is "three million, six hundred sixty-two thousand, two hundred eighty".