36738545443344 has 640 divisors, whose sum is σ = 115984036546560. Its totient is φ = 11226045726720.

The previous prime is 36738545443321. The next prime is 36738545443399. The reversal of 36738545443344 is 44334454583763.

36738545443344 is a `hidden beast` number, since 3 + 6 + 7 + 3 + 8 + 54 + 544 + 3 + 34 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24706485769 + ... + 24706487255.

It is an arithmetic number, because the mean of its divisors is an integer number (181225057104).

Almost surely, 2^{36738545443344} is an apocalyptic number.

36738545443344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36738545443344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57992018273280).

36738545443344 is an abundant number, since it is smaller than the sum of its proper divisors (79245491103216).

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

36738545443344 is a wasteful number, since it uses less digits than its factorization.

36738545443344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2563 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 63.

The spelling of 36738545443344 in words is "thirty-six trillion, seven hundred thirty-eight billion, five hundred forty-five million, four hundred forty-three thousand, three hundred forty-four".