36521600 has 96 divisors (see below), whose sum is σ = 91919340. Its totient is φ = 14336000.

The previous prime is 36521587. The next prime is 36521603. The reversal of 36521600 is 612563.

It can be written as a sum of positive squares in 6 ways, for example, as 11999296 + 24522304 = 3464^2 + 4952^2 .

It is not an unprimeable number, because it can be changed into a prime (36521603) 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, 323144 + ... + 323256.

Almost surely, 2^36521600 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 36521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45959670).

36521600 is an abundant number, since it is smaller than the sum of its proper divisors (55397740).

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

36521600 is a wasteful number, since it uses less digits than its factorization.

36521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 36521600 is about 6043.3103511238. The cubic root of 36521600 is about 331.7797930079.

The spelling of 36521600 in words is "thirty-six million, five hundred twenty-one thousand, six hundred".