36738493440 has 176 divisors, whose sum is σ = 128188707840. Its totient is φ = 8906260480.

The previous prime is 36738493427. The next prime is 36738493447. The reversal of 36738493440 is 4439483763.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (36738493447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60241 + ... + 277679.

Almost surely, 2^36738493440 is an apocalyptic number.

36738493440 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 36738493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64094353920).

36738493440 is an abundant number, since it is smaller than the sum of its proper divisors (91450214400).

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

36738493440 is a wasteful number, since it uses less digits than its factorization.

36738493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217478 (or 217460 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 36738493440 in words is "thirty-six billion, seven hundred thirty-eight million, four hundred ninety-three thousand, four hundred forty".