36344893777920 has 3840 divisors, whose sum is σ = 169416479232000. Its totient is φ = 7397596200960.

The previous prime is 36344893777909. The next prime is 36344893777991. The reversal of 36344893777920 is 2977739844363.

36344893777920 is a `hidden beast` number, since 3 + 6 + 3 + 4 + 489 + 3 + 77 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 114652661602 + ... + 114652661918.

It is an arithmetic number, because the mean of its divisors is an integer number (44118874800).

Almost surely, 2^{36344893777920} is an apocalyptic number.

36344893777920 is a gapful number since it is divisible by the number (30) 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 36344893777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84708239616000).

36344893777920 is an abundant number, since it is smaller than the sum of its proper divisors (133071585454080).

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

36344893777920 is a wasteful number, since it uses less digits than its factorization.

36344893777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1152216576, while the sum is 72.

The spelling of 36344893777920 in words is "thirty-six trillion, three hundred forty-four billion, eight hundred ninety-three million, seven hundred seventy-seven thousand, nine hundred twenty".