3626448 has 80 divisors (see below), whose sum is σ = 10999296. Its totient is φ = 1008000.

The previous prime is 3626443. The next prime is 3626449. The reversal of 3626448 is 8446263.

It is a super-2 number, since 2×3626448² = 26302250193408, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3626443) 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, 14323 + ... + 14573.

Almost surely, 2^3626448 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 3626448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499648).

3626448 is an abundant number, since it is smaller than the sum of its proper divisors (7372848).

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

3626448 is a wasteful number, since it uses less digits than its factorization.

3626448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 3626448 is about 1904.3235019292. The cubic root of 3626448 is about 153.6362924225.

The spelling of 3626448 in words is "three million, six hundred twenty-six thousand, four hundred forty-eight".