36344410400 has 72 divisors (see below), whose sum is σ = 89257412160. Its totient is φ = 14450658560.

The previous prime is 36344410393. The next prime is 36344410439. The reversal of 36344410400 is 401444363.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2420 + ... + 269619.

It is an arithmetic number, because the mean of its divisors is an integer number (1239686280).

Almost surely, 2^36344410400 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 36344410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44628706080).

36344410400 is an abundant number, since it is smaller than the sum of its proper divisors (52913001760).

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

36344410400 is a wasteful number, since it uses less digits than its factorization.

36344410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272226 (or 272213 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 36344410400 its reverse (401444363), we get a palindrome (36745854763).

The spelling of 36344410400 in words is "thirty-six billion, three hundred forty-four million, four hundred ten thousand, four hundred".