36039379716000 has 864 divisors, whose sum is σ = 132769090818000. Its totient is φ = 9257836032000.

The previous prime is 36039379715923. The next prime is 36039379716007. The reversal of 36039379716000 is 61797393063.

36039379716000 is a `hidden beast` number, since 3 + 6 + 0 + 393 + 7 + 97 + 160 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10251548854416 + 25787830861584 = 3201804^2 + 5078172^2 .

It is not an unprimeable number, because it can be changed into a prime (36039379716007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7922481726 + ... + 7922486274.

Almost surely, 2^{36039379716000} is an apocalyptic number.

36039379716000 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 36039379716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66384545409000).

36039379716000 is an abundant number, since it is smaller than the sum of its proper divisors (96729711102000).

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

36039379716000 is a wasteful number, since it uses less digits than its factorization.

36039379716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4871 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 3857868, while the sum is 54.

The spelling of 36039379716000 in words is "thirty-six trillion, thirty-nine billion, three hundred seventy-nine million, seven hundred sixteen thousand".