36782212032 has 168 divisors, whose sum is σ = 107950991616. Its totient is φ = 11968879104.

The previous prime is 36782211989. The next prime is 36782212067. The reversal of 36782212032 is 23021228763.

36782212032 is a `hidden beast` number, since 367 + 82 + 212 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×36782212032² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11991363 + ... + 11994429.

Almost surely, 2^36782212032 is an apocalyptic number.

36782212032 is a gapful number since it is divisible by the number (32) 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 36782212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53975495808).

36782212032 is an abundant number, since it is smaller than the sum of its proper divisors (71168779584).

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

36782212032 is a wasteful number, since it uses less digits than its factorization.

36782212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 36782212032 in words is "thirty-six billion, seven hundred eighty-two million, two hundred twelve thousand, thirty-two".