3891264 has 56 divisors (see below), whose sum is σ = 11094720. Its totient is φ = 1196544.

The previous prime is 3891263. The next prime is 3891287. The reversal of 3891264 is 4621983.

It is not an unprimeable number, because it can be changed into a prime (3891263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1717 + ... + 3275.

It is an arithmetic number, because the mean of its divisors is an integer number (198120).

Almost surely, 2^3891264 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 3891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547360).

3891264 is an abundant number, since it is smaller than the sum of its proper divisors (7203456).

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

3891264 is a wasteful number, since it uses less digits than its factorization.

3891264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1577 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 3891264 is about 1972.6287030255. The cubic root of 3891264 is about 157.2884739164.

It can be divided in two parts, 389 and 1264, that added together give a triangular number (1653 = T₅₇).

The spelling of 3891264 in words is "three million, eight hundred ninety-one thousand, two hundred sixty-four".