36434724160 has 112 divisors (see below), whose sum is σ = 89302498560. Its totient is φ = 14152919040.

The previous prime is 36434724149. The next prime is 36434724163. The reversal of 36434724160 is 6142743463.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36434724163) 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 15 ways as a sum of consecutive naturals, for example, 1530267 + ... + 1553893.

Almost surely, 2^36434724160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36434724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44651249280).

36434724160 is an abundant number, since it is smaller than the sum of its proper divisors (52867774400).

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

36434724160 is a wasteful number, since it uses less digits than its factorization.

36434724160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23784 (or 23774 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 36434724160 in words is "thirty-six billion, four hundred thirty-four million, seven hundred twenty-four thousand, one hundred sixty".