36738461088 has 720 divisors, whose sum is σ = 133225646400. Its totient is φ = 9921864960.

The previous prime is 36738461059. The next prime is 36738461093. The reversal of 36738461088 is 88016483763.

36738461088 is a `hidden beast` number, since 36 + 73 + 8 + 461 + 0 + 88 = 666.

It is a super-2 number, since 2×36738461088² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 854382795 + ... + 854382837.

It is an arithmetic number, because the mean of its divisors is an integer number (185035620).

Almost surely, 2^36738461088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36738461088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66612823200).

36738461088 is an abundant number, since it is smaller than the sum of its proper divisors (96487185312).

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

36738461088 is an equidigital number, since it uses as much as digits as its factorization.

36738461088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 36738461088 in words is "thirty-six billion, seven hundred thirty-eight million, four hundred sixty-one thousand, eighty-eight".