3744864 has 36 divisors (see below), whose sum is σ = 10650276. Its totient is φ = 1248192.

The previous prime is 3744863. The next prime is 3744869. The reversal of 3744864 is 4684473.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3744863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6214 + ... + 6789.

It is an arithmetic number, because the mean of its divisors is an integer number (295841).

Almost surely, 2^3744864 is an apocalyptic number.

It is an amenable number.

3744864 is an abundant number, since it is smaller than the sum of its proper divisors (6905412).

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

3744864 is a wasteful number, since it uses less digits than its factorization.

3744864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13019 (or 13008 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 3744864 is about 1935.1651092349. The cubic root of 3744864 is about 155.2906651315.

The spelling of 3744864 in words is "three million, seven hundred forty-four thousand, eight hundred sixty-four".