3687264 has 144 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 1002240.

The previous prime is 3687251. The next prime is 3687287. The reversal of 3687264 is 4627863.

It is a tau number, because it is divible by the number of its divisors (144).

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 Ulam number.

It is a d-powerful number, because it can be written as 3² + 6⁸ + 8⁵ + 7³ + 2¹⁵ + 6⁸ + 4⁹ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62467 + ... + 62525.

It is an arithmetic number, because the mean of its divisors is an integer number (87360).

Almost surely, 2^3687264 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 3687264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920).

3687264 is an abundant number, since it is smaller than the sum of its proper divisors (8892576).

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

3687264 is a wasteful number, since it uses less digits than its factorization.

3687264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 102 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3687264 is about 1920.2249868180. The cubic root of 3687264 is about 154.4903692115.

The spelling of 3687264 in words is "three million, six hundred eighty-seven thousand, two hundred sixty-four".