3613632 has 112 divisors (see below), whose sum is σ = 10972800. Its totient is φ = 1039360.

The previous prime is 3613619. The next prime is 3613633. The reversal of 3613632 is 2363163.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (3613633) 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, 61219 + ... + 61277.

Almost surely, 2^3613632 is an apocalyptic number.

3613632 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 3613632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486400).

3613632 is an abundant number, since it is smaller than the sum of its proper divisors (7359168).

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

3613632 is a wasteful number, since it uses less digits than its factorization.

3613632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 3613632 is about 1900.9555491910. The cubic root of 3613632 is about 153.4550933724.

Adding to 3613632 its reverse (2363163), we get a palindrome (5976795).

It can be divided in two parts, 361 and 3632, that added together give a palindrome (3993).

The spelling of 3613632 in words is "three million, six hundred thirteen thousand, six hundred thirty-two".