36445340520 has 576 divisors, whose sum is σ = 133025321520. Its totient is φ = 8620867584.

The previous prime is 36445340497. The next prime is 36445340531. The reversal of 36445340520 is 2504354463.

36445340520 is a `hidden beast` number, since 3 + 6 + 44 + 53 + 40 + 520 = 666.

36445340520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 435723876 + 36009616644 = 20874^2 + 189762^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 375725112 + ... + 375725208.

Almost surely, 2^36445340520 is an apocalyptic number.

36445340520 is a gapful number since it is divisible by the number (30) 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 36445340520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66512660760).

36445340520 is an abundant number, since it is smaller than the sum of its proper divisors (96579981000).

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

36445340520 is a wasteful number, since it uses less digits than its factorization.

36445340520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 36445340520 its reverse (2504354463), we get a palindrome (38949694983).

The spelling of 36445340520 in words is "thirty-six billion, four hundred forty-five million, three hundred forty thousand, five hundred twenty".