36795360 has 192 divisors, whose sum is σ = 135862272. Its totient is φ = 8196096.

The previous prime is 36795349. The next prime is 36795371. The reversal of 36795360 is 6359763.

36795360 = T₂₈₅₅ + T₂₈₅₆ + ... + T₂₈₆₃.

It is an interprime number because it is at equal distance from previous prime (36795349) and next prime (36795371).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157804 + ... + 158036.

It is an arithmetic number, because the mean of its divisors is an integer number (707616).

Almost surely, 2^36795360 is an apocalyptic number.

36795360 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 36795360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67931136).

36795360 is an abundant number, since it is smaller than the sum of its proper divisors (99066912).

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

36795360 is a wasteful number, since it uses less digits than its factorization.

36795360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 39.

The square root of 36795360 is about 6065.9179025107. The cubic root of 36795360 is about 332.6067194700.

The spelling of 36795360 in words is "thirty-six million, seven hundred ninety-five thousand, three hundred sixty".