3613248 has 140 divisors (see below), whose sum is σ = 11617452. Its totient is φ = 1105920.

The previous prime is 3613237. The next prime is 3613271. The reversal of 3613248 is 8423163.

It is a happy number.

3613248 is a `hidden beast` number, since 3 + 613 + 2 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 2286144 = 1152^2 + 1512^2 .

It is a super-2 number, since 2×3613248² = 26111122219008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88108 + ... + 88148.

Almost surely, 2^3613248 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 3613248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808726).

3613248 is an abundant number, since it is smaller than the sum of its proper divisors (8004204).

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

3613248 is a wasteful number, since it uses less digits than its factorization.

3613248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 63 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3613248 is about 1900.8545446719. The cubic root of 3613248 is about 153.4496575816.

The spelling of 3613248 in words is "three million, six hundred thirteen thousand, two hundred forty-eight".