3466272 has 24 divisors (see below), whose sum is σ = 9099216. Its totient is φ = 1155392.

The previous prime is 3466247. The next prime is 3466277. The reversal of 3466272 is 2726643.

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

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 3¹² + 4⁶ + 6³ + 6⁵ + 2¹¹ + 7⁷ + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (3466277) 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, 17958 + ... + 18149.

It is an arithmetic number, because the mean of its divisors is an integer number (379134).

Almost surely, 2^3466272 is an apocalyptic number.

3466272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3466272 is an abundant number, since it is smaller than the sum of its proper divisors (5632944).

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

3466272 is a wasteful number, since it uses less digits than its factorization.

3466272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36120 (or 36112 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 3466272 is about 1861.7926844845. The cubic root of 3466272 is about 151.3401684420.

The spelling of 3466272 in words is "three million, four hundred sixty-six thousand, two hundred seventy-two".