36825636352 has 80 divisors (see below), whose sum is σ = 78081252480. Its totient is φ = 17313421312.

The previous prime is 36825636349. The next prime is 36825636359. The reversal of 36825636352 is 25363652863.

It is a super-2 number, since 2×36825636352² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36825636296 and 36825636305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36825636359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 668283 + ... + 721285.

It is an arithmetic number, because the mean of its divisors is an integer number (976015656).

Almost surely, 2^36825636352 is an apocalyptic number.

36825636352 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 36825636352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39040626240).

36825636352 is an abundant number, since it is smaller than the sum of its proper divisors (41255616128).

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

36825636352 is an equidigital number, since it uses as much as digits as its factorization.

36825636352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53103 (or 53087 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 49.

The spelling of 36825636352 in words is "thirty-six billion, eight hundred twenty-five million, six hundred thirty-six thousand, three hundred fifty-two".