3672448 has 32 divisors (see below), whose sum is σ = 7882560. Its totient is φ = 1694208.

The previous prime is 3672437. The next prime is 3672451. The reversal of 3672448 is 8442763.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 3⁶ + 6⁴ + 7³ + 2¹⁹ + 4³ + 4¹⁰ + 8⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 561 + ... + 2767.

It is an arithmetic number, because the mean of its divisors is an integer number (246330).

Almost surely, 2^3672448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3672448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941280).

3672448 is an abundant number, since it is smaller than the sum of its proper divisors (4210112).

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

3672448 is a wasteful number, since it uses less digits than its factorization.

3672448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2222 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 3672448 is about 1916.3632223563. The cubic root of 3672448 is about 154.2831693355.

The spelling of 3672448 in words is "three million, six hundred seventy-two thousand, four hundred forty-eight".