3536728 has 32 divisors (see below), whose sum is σ = 7378560. Its totient is φ = 1578240.

The previous prime is 3536699. The next prime is 3536737. The reversal of 3536728 is 8276353.

It is a d-powerful number, because it can be written as 3² + 5⁴ + 3¹³ + 6⁸ + 7 + 2² + 8⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 3536693 and 3536702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2676 + ... + 3772.

It is an arithmetic number, because the mean of its divisors is an integer number (230580).

Almost surely, 2^3536728 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 3536728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689280).

3536728 is an abundant number, since it is smaller than the sum of its proper divisors (3841832).

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

3536728 is a wasteful number, since it uses less digits than its factorization.

3536728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1143 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 3536728 is about 1880.6190470162. The cubic root of 3536728 is about 152.3586866153.

It can be divided in two parts, 35 and 36728, that added together give a palindrome (36763).

The spelling of 3536728 in words is "three million, five hundred thirty-six thousand, seven hundred twenty-eight".