36516352 has 40 divisors (see below), whose sum is σ = 74036556. Its totient is φ = 17989632.

The previous prime is 36516349. The next prime is 36516353. The reversal of 36516352 is 25361563.

It can be written as a sum of positive squares in 2 ways, for example, as 33362176 + 3154176 = 5776^2 + 1776^2 .

It is not an unprimeable number, because it can be changed into a prime (36516353) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36888 + ... + 37864.

Almost surely, 2^36516352 is an apocalyptic number.

36516352 is a gapful number since it is divisible by the number (32) 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 36516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37018278).

36516352 is an abundant number, since it is smaller than the sum of its proper divisors (37520204).

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

36516352 is an frugal number, since it uses more digits than its factorization.

36516352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1052 counting only the distinct ones).

The product of its digits is 16200, while the sum is 31.

The square root of 36516352 is about 6042.8761364105. The cubic root of 36516352 is about 331.7639004607.

The spelling of 36516352 in words is "thirty-six million, five hundred sixteen thousand, three hundred fifty-two".