3536820 has 108 divisors (see below), whose sum is σ = 12511044. Its totient is φ = 806400.

The previous prime is 3536809. The next prime is 3536837. The reversal of 3536820 is 286353.

3536820 = T₃₂ + T₃₃ + ... + T₂₇₆.

It can be written as a sum of positive squares in 2 ways, for example, as 2683044 + 853776 = 1638^2 + 924^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8620 + ... + 9020.

It is an arithmetic number, because the mean of its divisors is an integer number (115843).

Almost surely, 2^3536820 is an apocalyptic number.

3536820 is a gapful number since it is divisible by the number (30) 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 3536820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255522).

3536820 is an abundant number, since it is smaller than the sum of its proper divisors (8974224).

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

3536820 is a wasteful number, since it uses less digits than its factorization.

3536820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3536820 is about 1880.6435068880. The cubic root of 3536820 is about 152.3600076930.

It can be divided in two parts, 3536 and 820, that added together give a square (4356 = 66²).

The spelling of 3536820 in words is "three million, five hundred thirty-six thousand, eight hundred twenty".