36348798283776 has 1040 divisors, whose sum is σ = 125992060115328. Its totient is φ = 10362558873600.

The previous prime is 36348798283753. The next prime is 36348798283781. The reversal of 36348798283776 is 67738289784363.

36348798283776 is a `hidden beast` number, since 3 + 63 + 4 + 87 + 98 + 28 + 377 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 36348798283695 and 36348798283704.

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 79 ways as a sum of consecutive naturals, for example, 15076232011 + ... + 15076234421.

Almost surely, 2^{36348798283776} is an apocalyptic number.

36348798283776 is a gapful number since it is divisible by the number (36) 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 36348798283776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62996030057664).

36348798283776 is an abundant number, since it is smaller than the sum of its proper divisors (89643261831552).

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

36348798283776 is an frugal number, since it uses more digits than its factorization.

36348798283776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2444 counting only the distinct ones).

The product of its digits is 12290310144, while the sum is 81.

The spelling of 36348798283776 in words is "thirty-six trillion, three hundred forty-eight billion, seven hundred ninety-eight million, two hundred eighty-three thousand, seven hundred seventy-six".