3537828 has 72 divisors (see below), whose sum is σ = 10395840. Its totient is φ = 993600.

The previous prime is 3537827. The next prime is 3537841. The reversal of 3537828 is 8287353.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (40320) is a multiple of the sum of its prime divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 3537792 and 3537801.

It is not an unprimeable number, because it can be changed into a prime (3537823) 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, 25383 + ... + 25521.

Almost surely, 2^3537828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3537828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197920).

3537828 is an abundant number, since it is smaller than the sum of its proper divisors (6858012).

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

3537828 is a wasteful number, since it uses less digits than its factorization.

3537828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 252 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3537828 is about 1880.9114811708. The cubic root of 3537828 is about 152.3744806093.

The spelling of 3537828 in words is "three million, five hundred thirty-seven thousand, eight hundred twenty-eight".