36438992100 has 567 divisors, whose sum is σ = 139289523051. Its totient is φ = 8246448000.

The previous prime is 36438992081. The next prime is 36438992123. The reversal of 36438992100 is 129983463.

It is a happy number.

The square root of 36438992100 is 190890.

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 6728264676 + 29710727424 = 82026^2 + 172368^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 360782050 + ... + 360782150.

Almost surely, 2^36438992100 is an apocalyptic number.

36438992100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36438992100 is the 190890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36438992100

36438992100 is an abundant number, since it is smaller than the sum of its proper divisors (102850530951).

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

36438992100 is a wasteful number, since it uses less digits than its factorization.

36438992100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 36438992100 in words is "thirty-six billion, four hundred thirty-eight million, nine hundred ninety-two thousand, one hundred".