35736121600 has 243 divisors, whose sum is σ = 94642482207. Its totient is φ = 13356810240.

The previous prime is 35736121571. The next prime is 35736121601. The reversal of 35736121600 is 612163753.

The square root of 35736121600 is 189040.

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 835903744 + 34900217856 = 28912^2 + 186816^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35736121601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 257094331 + ... + 257094469.

Almost surely, 2^35736121600 is an apocalyptic number.

35736121600 is the 189040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35736121600

35736121600 is an abundant number, since it is smaller than the sum of its proper divisors (58906360607).

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

35736121600 is an equidigital number, since it uses as much as digits as its factorization.

35736121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The spelling of 35736121600 in words is "thirty-five billion, seven hundred thirty-six million, one hundred twenty-one thousand, six hundred".