3536900 has 36 divisors (see below), whose sum is σ = 7767732. Its totient is φ = 1397760.

The previous prime is 3536899. The next prime is 3536903. The reversal of 3536900 is 96353.

It can be written as a sum of positive squares in 6 ways, for example, as 1893376 + 1643524 = 1376^2 + 1282^2 .

It is a super-2 number, since 2×3536900² = 25019323220000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3536900.

It is not an unprimeable number, because it can be changed into a prime (3536903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11144 + ... + 11456.

Almost surely, 2^3536900 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 3536900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883866).

3536900 is an abundant number, since it is smaller than the sum of its proper divisors (4230832).

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

3536900 is a wasteful number, since it uses less digits than its factorization.

3536900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 26.

The square root of 3536900 is about 1880.6647760832. The cubic root of 3536900 is about 152.3611564376.

The spelling of 3536900 in words is "three million, five hundred thirty-six thousand, nine hundred".