36069300 has 180 divisors, whose sum is σ = 120467116. Its totient is φ = 9331200.

The previous prime is 36069283. The next prime is 36069307. The reversal of 36069300 is 396063.

It can be written as a sum of positive squares in 6 ways, for example, as 5731236 + 30338064 = 2394^2 + 5508^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36069307) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 494064 + ... + 494136.

Almost surely, 2^36069300 is an apocalyptic number.

36069300 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 36069300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60233558).

36069300 is an abundant number, since it is smaller than the sum of its proper divisors (84397816).

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

36069300 is a wasteful number, since it uses less digits than its factorization.

36069300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 36069300 is about 6005.7722234530. The cubic root of 36069300 is about 330.4044627475.

The spelling of 36069300 in words is "thirty-six million, sixty-nine thousand, three hundred".