3834272 has 36 divisors (see below), whose sum is σ = 8185590. Its totient is φ = 1767168.

The previous prime is 3834253. The next prime is 3834283. The reversal of 3834272 is 2724383.

It can be written as a sum of positive squares in 3 ways, for example, as 1157776 + 2676496 = 1076^2 + 1636^2 .

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5054 + ... + 5762.

Almost surely, 2^3834272 is an apocalyptic number.

3834272 is a gapful number since it is divisible by the number (32) 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 3834272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092795).

3834272 is an abundant number, since it is smaller than the sum of its proper divisors (4351318).

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

3834272 is a wasteful number, since it uses less digits than its factorization.

3834272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 724 counting only the distinct ones).

The product of its digits is 8064, while the sum is 29.

The square root of 3834272 is about 1958.1297199113. The cubic root of 3834272 is about 156.5168045322.

The spelling of 3834272 in words is "three million, eight hundred thirty-four thousand, two hundred seventy-two".