36844093440 has 1080 divisors, whose sum is σ = 163163931840. Its totient is φ = 7526154240.

The previous prime is 36844093439. The next prime is 36844093477. The reversal of 36844093440 is 4439044863.

It is a happy number.

36844093440 is a `hidden beast` number, since 3 + 6 + 84 + 40 + 93 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 624476131 + ... + 624476189.

Almost surely, 2^36844093440 is an apocalyptic number.

36844093440 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 36844093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81581965920).

36844093440 is an abundant number, since it is smaller than the sum of its proper divisors (126319838400).

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

36844093440 is a wasteful number, since it uses less digits than its factorization.

36844093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 36844093440 in words is "thirty-six billion, eight hundred forty-four million, ninety-three thousand, four hundred forty".