36774944449344 has 336 divisors, whose sum is σ = 119182322488320. Its totient is φ = 10780063580160.

The previous prime is 36774944449333. The next prime is 36774944449351. The reversal of 36774944449344 is 44394444947763.

36774944449344 is a `hidden beast` number, since 3 + 6 + 7 + 7 + 4 + 94 + 4 + 4 + 493 + 44 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6714237 + ... + 10891779.

It is an arithmetic number, because the mean of its divisors is an integer number (354709293120).

Almost surely, 2^{36774944449344} is an apocalyptic number.

36774944449344 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 36774944449344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59591161244160).

36774944449344 is an abundant number, since it is smaller than the sum of its proper divisors (82407378038976).

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

36774944449344 is a wasteful number, since it uses less digits than its factorization.

36774944449344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177638 (or 4177625 counting only the distinct ones).

The product of its digits is 3511517184, while the sum is 72.

The spelling of 36774944449344 in words is "thirty-six trillion, seven hundred seventy-four billion, nine hundred forty-four million, four hundred forty-nine thousand, three hundred forty-four".