36340093440 has 360 divisors, whose sum is σ = 146408425020. Its totient is φ = 8306049024.

The previous prime is 36340093417. The next prime is 36340093453. The reversal of 36340093440 is 4439004363.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 35277854976 + 1062238464 = 187824^2 + 32592^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 36340093395 and 36340093404.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1112866 + ... + 1145054.

Almost surely, 2^36340093440 is an apocalyptic number.

36340093440 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 36340093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73204212510).

36340093440 is an abundant number, since it is smaller than the sum of its proper divisors (110068331580).

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

36340093440 is a wasteful number, since it uses less digits than its factorization.

36340093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32232 (or 32206 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 36340093440 in words is "thirty-six billion, three hundred forty million, ninety-three thousand, four hundred forty".