36134322840 has 768 divisors, whose sum is σ = 153653760000. Its totient is φ = 7295339520.

The previous prime is 36134322839. The next prime is 36134322859. The reversal of 36134322840 is 4822343163.

36134322840 is a `hidden beast` number, since 3 + 613 + 4 + 32 + 2 + 8 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 36134322795 and 36134322804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50256001 + ... + 50256719.

It is an arithmetic number, because the mean of its divisors is an integer number (200070000).

Almost surely, 2^36134322840 is an apocalyptic number.

36134322840 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 36134322840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76826880000).

36134322840 is an abundant number, since it is smaller than the sum of its proper divisors (117519437160).

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

36134322840 is a wasteful number, since it uses less digits than its factorization.

36134322840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 36134322840 in words is "thirty-six billion, one hundred thirty-four million, three hundred twenty-two thousand, eight hundred forty".