36735360 has 192 divisors, whose sum is σ = 125912880. Its totient is φ = 9105408.

The previous prime is 36735319. The next prime is 36735367. The reversal of 36735360 is 6353763.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36735367) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 693094 + ... + 693146.

Almost surely, 2^36735360 is an apocalyptic number.

36735360 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 36735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62956440).

36735360 is an abundant number, since it is smaller than the sum of its proper divisors (89177520).

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

36735360 is a wasteful number, since it uses less digits than its factorization.

36735360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 33.

The square root of 36735360 is about 6060.9702193626. The cubic root of 36735360 is about 332.4258337981.

The spelling of 36735360 in words is "thirty-six million, seven hundred thirty-five thousand, three hundred sixty".