3834264 has 64 divisors (see below), whose sum is σ = 11347200. Its totient is φ = 1056384.

The previous prime is 3834253. The next prime is 3834283. The reversal of 3834264 is 4624383.

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

It is a d-powerful number, because it can be written as 3⁸ + 8⁷ + 3¹³ + 4⁵ + 2¹⁷ + 6² + 4⁶ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4479 + ... + 5265.

It is an arithmetic number, because the mean of its divisors is an integer number (177300).

Almost surely, 2^3834264 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 3834264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5673600).

3834264 is an abundant number, since it is smaller than the sum of its proper divisors (7512936).

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

3834264 is a wasteful number, since it uses less digits than its factorization.

3834264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 828 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 3834264 is about 1958.1276771447. The cubic root of 3834264 is about 156.5166956775.

The spelling of 3834264 in words is "three million, eight hundred thirty-four thousand, two hundred sixty-four".