3537632 has 48 divisors (see below), whose sum is σ = 8436960. Its totient is φ = 1425408.

The previous prime is 3537631. The next prime is 3537641. The reversal of 3537632 is 2367353.

It is a junction number, because it is equal to n+sod(n) for n = 3537595 and 3537604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3537631) 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 7 ways as a sum of consecutive naturals, for example, 3344 + ... + 4272.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

Almost surely, 2^3537632 is an apocalyptic number.

3537632 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 3537632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218480).

3537632 is an abundant number, since it is smaller than the sum of its proper divisors (4899328).

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

3537632 is a wasteful number, since it uses less digits than its factorization.

3537632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 955 counting only the distinct ones).

The product of its digits is 11340, while the sum is 29.

The square root of 3537632 is about 1880.8593780504. The cubic root of 3537632 is about 152.3716666465.

The spelling of 3537632 in words is "three million, five hundred thirty-seven thousand, six hundred thirty-two".