36352512 has 240 divisors, whose sum is σ = 127670400. Its totient is φ = 9934848.

The previous prime is 36352499. The next prime is 36352513. The reversal of 36352512 is 21525363.

36352512 is a `hidden beast` number, since 3 + 635 + 25 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (36352513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1580533 + ... + 1580555.

It is an arithmetic number, because the mean of its divisors is an integer number (531960).

Almost surely, 2^36352512 is an apocalyptic number.

36352512 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 36352512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63835200).

36352512 is an abundant number, since it is smaller than the sum of its proper divisors (91317888).

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

36352512 is an equidigital number, since it uses as much as digits as its factorization.

36352512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 35 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 36352512 is about 6029.3044374953. The cubic root of 36352512 is about 331.2669751832.

Adding to 36352512 its reverse (21525363), we get a palindrome (57877875).

It can be divided in two parts, 36352 and 512, that added together give a square (36864 = 192²).

The spelling of 36352512 in words is "thirty-six million, three hundred fifty-two thousand, five hundred twelve".