36795000 has 160 divisors (see below), whose sum is σ = 125959680. Its totient is φ = 8880000.

The previous prime is 36794959. The next prime is 36795019. The reversal of 36795000 is 59763.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164889 + ... + 165111.

It is an arithmetic number, because the mean of its divisors is an integer number (787248).

Almost surely, 2^36795000 is an apocalyptic number.

36795000 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 36795000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62979840).

36795000 is an abundant number, since it is smaller than the sum of its proper divisors (89164680).

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

36795000 is a wasteful number, since it uses less digits than its factorization.

36795000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 36795000 is about 6065.8882284460. Note that the first 3 decimals coincide. The cubic root of 36795000 is about 332.6056347426.

The spelling of 36795000 in words is "thirty-six million, seven hundred ninety-five thousand".