3537630 has 48 divisors (see below), whose sum is σ = 9603360. Its totient is φ = 901824.

The previous prime is 3537601. The next prime is 3537631. The reversal of 3537630 is 367353.

It is a junction number, because it is equal to n+sod(n) for n = 3537594 and 3537603.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1216 + ... + 2924.

It is an arithmetic number, because the mean of its divisors is an integer number (200070).

Almost surely, 2^3537630 is an apocalyptic number.

3537630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3537630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801680).

3537630 is an abundant number, since it is smaller than the sum of its proper divisors (6065730).

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

3537630 is a wasteful number, since it uses less digits than its factorization.

3537630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The square root of 3537630 is about 1880.8588463784. The cubic root of 3537630 is about 152.3716379320.

The spelling of 3537630 in words is "three million, five hundred thirty-seven thousand, six hundred thirty".