3831264 has 72 divisors (see below), whose sum is σ = 11144952. Its totient is φ = 1248000.

The previous prime is 3831253. The next prime is 3831287. The reversal of 3831264 is 4621383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15139 + ... + 15389.

It is an arithmetic number, because the mean of its divisors is an integer number (154791).

Almost surely, 2^3831264 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 3831264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572476).

3831264 is an abundant number, since it is smaller than the sum of its proper divisors (7313688).

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

3831264 is a wasteful number, since it uses less digits than its factorization.

3831264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 309 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3831264 is about 1957.3614893524. The cubic root of 3831264 is about 156.4758644948.

It can be divided in two parts, 3831 and 264, that added together give a triangular number (4095 = T₉₀).

The spelling of 3831264 in words is "three million, eight hundred thirty-one thousand, two hundred sixty-four".