3444672 has 112 divisors (see below), whose sum is σ = 11411712. Its totient is φ = 890880.

The previous prime is 3444667. The next prime is 3444673. The reversal of 3444672 is 2764443.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a d-powerful number, because it can be written as 3¹¹ + 4² + 4⁶ + 4¹⁰ + 6² + 7⁶ + 2²¹ .

Its product of digits (16128) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444673) 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, 14668 + ... + 14900.

Almost surely, 2^3444672 is an apocalyptic number.

3444672 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 3444672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705856).

3444672 is an abundant number, since it is smaller than the sum of its proper divisors (7967040).

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

3444672 is a wasteful number, since it uses less digits than its factorization.

3444672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 3444672 is about 1855.9827585406. The cubic root of 3444672 is about 151.0251555243.

The spelling of 3444672 in words is "three million, four hundred forty-four thousand, six hundred seventy-two".