36349985280 has 480 divisors, whose sum is σ = 140239845504. Its totient is φ = 7867072512.

The previous prime is 36349985263. The next prime is 36349985297. The reversal of 36349985280 is 8258994363.

It is an interprime number because it is at equal distance from previous prime (36349985263) and next prime (36349985297).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 36349985280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19406424 + ... + 19408296.

Almost surely, 2^36349985280 is an apocalyptic number.

36349985280 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 36349985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70119922752).

36349985280 is an abundant number, since it is smaller than the sum of its proper divisors (103889860224).

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

36349985280 is a wasteful number, since it uses less digits than its factorization.

36349985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 36349985280 in words is "thirty-six billion, three hundred forty-nine million, nine hundred eighty-five thousand, two hundred eighty".