36895950 has 288 divisors, whose sum is σ = 131616576. Its totient is φ = 7188480.

The previous prime is 36895927. The next prime is 36895951. The reversal of 36895950 is 5959863.

It is a super-2 number, since 2×36895950² = 2722622252805000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 36895896 and 36895905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36895951) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 696124 + ... + 696176.

It is an arithmetic number, because the mean of its divisors is an integer number (457002).

Almost surely, 2^36895950 is an apocalyptic number.

36895950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36895950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65808288).

36895950 is an abundant number, since it is smaller than the sum of its proper divisors (94720626).

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

36895950 is a wasteful number, since it uses less digits than its factorization.

36895950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 36895950 is about 6074.2036515086. The cubic root of 36895950 is about 332.9095336320.

The spelling of 36895950 in words is "thirty-six million, eight hundred ninety-five thousand, nine hundred fifty".