36826241880384 has 672 divisors, whose sum is σ = 121898994647040. Its totient is φ = 10527390720000.

The previous prime is 36826241880367. The next prime is 36826241880413. The reversal of 36826241880384 is 48308814262863.

36826241880384 is a `hidden beast` number, since 3 + 6 + 8 + 2 + 6 + 241 + 8 + 8 + 0 + 384 = 666.

It is a super-3 number, since 3×36826241880384³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1241137869 + ... + 1241167539.

Almost surely, 2^{36826241880384} 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 36826241880384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60949497323520).

36826241880384 is an abundant number, since it is smaller than the sum of its proper divisors (85072752766656).

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

36826241880384 is a wasteful number, since it uses less digits than its factorization.

36826241880384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29891 (or 29878 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 36826241880384 in words is "thirty-six trillion, eight hundred twenty-six billion, two hundred forty-one million, eight hundred eighty thousand, three hundred eighty-four".