3505632 has 72 divisors (see below), whose sum is σ = 10100664. Its totient is φ = 1058304.

The previous prime is 3505631. The next prime is 3505651. The reversal of 3505632 is 2365053.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3505631) 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 11 ways as a sum of consecutive naturals, for example, 66118 + ... + 66170.

It is an arithmetic number, because the mean of its divisors is an integer number (140287).

Almost surely, 2^3505632 is an apocalyptic number.

3505632 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 3505632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050332).

3505632 is an abundant number, since it is smaller than the sum of its proper divisors (6595032).

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

3505632 is a wasteful number, since it uses less digits than its factorization.

3505632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 3505632 is about 1872.3333036615. Note that the first 4 decimals coincide. The cubic root of 3505632 is about 151.9108433750.

The spelling of 3505632 in words is "three million, five hundred five thousand, six hundred thirty-two".