36007295436 has 108 divisors (see below), whose sum is σ = 105925469832. Its totient is φ = 10283245056.

The previous prime is 36007295431. The next prime is 36007295459. The reversal of 36007295436 is 63459270063.

36007295436 is a `hidden beast` number, since 3 + 60 + 0 + 72 + 95 + 436 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36007295391 and 36007295400.

It is not an unprimeable number, because it can be changed into a prime (36007295431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7958671 + ... + 7963193.

Almost surely, 2^36007295436 is an apocalyptic number.

36007295436 is a gapful number since it is divisible by the number (36) 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 36007295436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52962734916).

36007295436 is an abundant number, since it is smaller than the sum of its proper divisors (69918174396).

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

36007295436 is a wasteful number, since it uses less digits than its factorization.

36007295436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9060 (or 9048 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 36007295436 in words is "thirty-six billion, seven million, two hundred ninety-five thousand, four hundred thirty-six".