3826272 has 24 divisors (see below), whose sum is σ = 10044216. Its totient is φ = 1275392.

The previous prime is 3826259. The next prime is 3826279. The reversal of 3826272 is 2726283.

It is a tau number, because it is divible by the number of its divisors (24).

It is a d-powerful number, because it can be written as 3² + 8⁵ + 2¹⁴ + 6⁸ + 2²⁰ + 7³ + 2²⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3826279) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19833 + ... + 20024.

It is an arithmetic number, because the mean of its divisors is an integer number (418509).

Almost surely, 2^3826272 is an apocalyptic number.

3826272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3826272 is an abundant number, since it is smaller than the sum of its proper divisors (6217944).

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

3826272 is a wasteful number, since it uses less digits than its factorization.

3826272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39870 (or 39862 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 3826272 is about 1956.0858876849. The cubic root of 3826272 is about 156.4078741378.

The spelling of 3826272 in words is "three million, eight hundred twenty-six thousand, two hundred seventy-two".