3696264 has 96 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 1031040.

The previous prime is 3696257. The next prime is 3696269. The reversal of 3696264 is 4626963.

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 not an unprimeable number, because it can be changed into a prime (3696269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10117 + ... + 10475.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

Almost surely, 2^3696264 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 3696264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

3696264 is an abundant number, since it is smaller than the sum of its proper divisors (8097336).

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

3696264 is a wasteful number, since it uses less digits than its factorization.

3696264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 388 counting only the distinct ones).

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

The square root of 3696264 is about 1922.5670339419. The cubic root of 3696264 is about 154.6159622075.

The spelling of 3696264 in words is "three million, six hundred ninety-six thousand, two hundred sixty-four".