3406272 has 56 divisors (see below), whose sum is σ = 9150096. Its totient is φ = 1118208.

The previous prime is 3406259. The next prime is 3406279. The reversal of 3406272 is 2726043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21618 + ... + 21774.

Almost surely, 2^3406272 is an apocalyptic number.

3406272 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 3406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575048).

3406272 is an abundant number, since it is smaller than the sum of its proper divisors (5743824).

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

3406272 is a wasteful number, since it uses less digits than its factorization.

3406272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 3406272 is about 1845.6088426316. The cubic root of 3406272 is about 150.4618652989.

It can be divided in two parts, 3 and 406272, that multiplied together give a square (1218816 = 1104²).

The spelling of 3406272 in words is "three million, four hundred six thousand, two hundred seventy-two".