3661632 has 112 divisors (see below), whose sum is σ = 11663680. Its totient is φ = 1119744.

The previous prime is 3661601. The next prime is 3661633. The reversal of 3661632 is 2361663.

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 a junction number, because it is equal to n+sod(n) for n = 3661596 and 3661605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3661633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22383 + ... + 22545.

It is an arithmetic number, because the mean of its divisors is an integer number (104140).

Almost surely, 2^3661632 is an apocalyptic number.

3661632 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 3661632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831840).

3661632 is an abundant number, since it is smaller than the sum of its proper divisors (8002048).

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

3661632 is a wasteful number, since it uses less digits than its factorization.

3661632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 3661632 is about 1913.5391294667. The cubic root of 3661632 is about 154.1315567803.

The spelling of 3661632 in words is "three million, six hundred sixty-one thousand, six hundred thirty-two".