36848641600 has 63 divisors (see below), whose sum is σ = 90689586337. Its totient is φ = 14736385280.

The previous prime is 36848641559. The next prime is 36848641631. The reversal of 36848641600 is 614684863.

The square root of 36848641600 is 191960.

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., 13265510976 + 23583130624 = 115176^2 + 153568^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 7676001 + ... + 7680799.

Almost surely, 2^36848641600 is an apocalyptic number.

36848641600 is the 191960-th square number.

It is an amenable number.

36848641600 is an abundant number, since it is smaller than the sum of its proper divisors (53840944737).

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

36848641600 is an frugal number, since it uses more digits than its factorization.

36848641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9620 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 36848641600 in words is "thirty-six billion, eight hundred forty-eight million, six hundred forty-one thousand, six hundred".