3807264 has 24 divisors (see below), whose sum is σ = 9994320. Its totient is φ = 1269056.

The previous prime is 3807257. The next prime is 3807281. The reversal of 3807264 is 4627083.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19734 + ... + 19925.

It is an arithmetic number, because the mean of its divisors is an integer number (416430).

Almost surely, 2^3807264 is an apocalyptic number.

It is an amenable number.

3807264 is an abundant number, since it is smaller than the sum of its proper divisors (6187056).

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

3807264 is a wasteful number, since it uses less digits than its factorization.

3807264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39672 (or 39664 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3807264 is about 1951.2211560969. The cubic root of 3807264 is about 156.1484451553.

The spelling of 3807264 in words is "three million, eight hundred seven thousand, two hundred sixty-four".