36374118400 has 153 divisors (see below), whose sum is σ = 90816605551. Its totient is φ = 14451998720.

The previous prime is 36374118373. The next prime is 36374118409. The reversal of 36374118400 is 481147363.

The square root of 36374118400 is 190720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10855972864 + 25518145536 = 104192^2 + 159744^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36374118400.

It is not an unprimeable number, because it can be changed into a prime (36374118409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 244121526 + ... + 244121674.

Almost surely, 2^36374118400 is an apocalyptic number.

36374118400 is the 190720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36374118400

36374118400 is an abundant number, since it is smaller than the sum of its proper divisors (54442487151).

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

36374118400 is an frugal number, since it uses more digits than its factorization.

36374118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 36374118400 in words is "thirty-six billion, three hundred seventy-four million, one hundred eighteen thousand, four hundred".