3828264 has 64 divisors (see below), whose sum is σ = 11067840. Its totient is φ = 1090560.

The previous prime is 3828263. The next prime is 3828269. The reversal of 3828264 is 4628283.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is not an unprimeable number, because it can be changed into a prime (3828263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4062 + ... + 4914.

It is an arithmetic number, because the mean of its divisors is an integer number (172935).

Almost surely, 2^3828264 is an apocalyptic number.

3828264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3828264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533920).

3828264 is an abundant number, since it is smaller than the sum of its proper divisors (7239576).

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

3828264 is a wasteful number, since it uses less digits than its factorization.

3828264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 886 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 3828264 is about 1956.5950015269. The cubic root of 3828264 is about 156.4350119918.

It can be divided in two parts, 382 and 8264, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 3828264 in words is "three million, eight hundred twenty-eight thousand, two hundred sixty-four".