36783404100 has 135 divisors (see below), whose sum is σ = 119293244301. Its totient is φ = 9804304800.

The previous prime is 36783404057. The next prime is 36783404117. The reversal of 36783404100 is 140438763.

The square root of 36783404100 is 191790.

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

It can be written as a sum of positive squares in only one way, i.e., 13242025476 + 23541378624 = 115074^2 + 153432^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

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 44 ways as a sum of consecutive naturals, for example, 17260035 + ... + 17262165.

Almost surely, 2^36783404100 is an apocalyptic number.

36783404100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36783404100 is the 191790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36783404100

36783404100 is an abundant number, since it is smaller than the sum of its proper divisors (82509840201).

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

36783404100 is an equidigital number, since it uses as much as digits as its factorization.

36783404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 36783404100 by its sum of digits (36), we get a square (1324202547600 = 1150740²).

36783404100 divided by its sum of digits (36) gives a square (1021761225 = 31965²).

The spelling of 36783404100 in words is "thirty-six billion, seven hundred eighty-three million, four hundred four thousand, one hundred".