3861264 has 80 divisors (see below), whose sum is σ = 11142144. Its totient is φ = 1142400.

The previous prime is 3861259. The next prime is 3861269. The reversal of 3861264 is 4621683.

3861264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3861259) and next prime (3861269).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3861269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37437 + ... + 37539.

Almost surely, 2^3861264 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 3861264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571072).

3861264 is an abundant number, since it is smaller than the sum of its proper divisors (7280880).

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

3861264 is a wasteful number, since it uses less digits than its factorization.

3861264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 190 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 3861264 is about 1965.0099236391. The cubic root of 3861264 is about 156.8832214757.

The spelling of 3861264 in words is "three million, eight hundred sixty-one thousand, two hundred sixty-four".