3669264 has 60 divisors (see below), whose sum is σ = 10426416. Its totient is φ = 1204416.

The previous prime is 3669257. The next prime is 3669277. The reversal of 3669264 is 4629663.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11799 + ... + 12105.

Almost surely, 2^3669264 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 3669264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213208).

3669264 is an abundant number, since it is smaller than the sum of its proper divisors (6757152).

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

3669264 is a wasteful number, since it uses less digits than its factorization.

3669264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 395 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3669264 is about 1915.5323019986. The cubic root of 3669264 is about 154.2385687814.

The spelling of 3669264 in words is "three million, six hundred sixty-nine thousand, two hundred sixty-four".