36445870944 has 336 divisors, whose sum is σ = 123518723328. Its totient is φ = 10364910336.

The previous prime is 36445870939. The next prime is 36445870949. The reversal of 36445870944 is 44907854463.

36445870944 is a `hidden beast` number, since 36 + 4 + 458 + 70 + 94 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (36445870939) and next prime (36445870949).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×36445870944³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36445870949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 50131509 + ... + 50132235.

It is an arithmetic number, because the mean of its divisors is an integer number (367615248).

Almost surely, 2^36445870944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36445870944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61759361664).

36445870944 is an abundant number, since it is smaller than the sum of its proper divisors (87072852384).

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

36445870944 is an equidigital number, since it uses as much as digits as its factorization.

36445870944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 36445870944 in words is "thirty-six billion, four hundred forty-five million, eight hundred seventy thousand, nine hundred forty-four".