36201690 has 72 divisors (see below), whose sum is σ = 109504980. Its totient is φ = 8273664.

The previous prime is 36201689. The next prime is 36201727. The reversal of 36201690 is 9610263.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 32387481 + 3814209 = 5691^2 + 1953^2 .

It is a super-3 number, since 3×36201690³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 306 + ... + 8514.

Almost surely, 2^36201690 is an apocalyptic number.

36201690 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 36201690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54752490).

36201690 is an abundant number, since it is smaller than the sum of its proper divisors (73303290).

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

36201690 is a wasteful number, since it uses less digits than its factorization.

36201690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8236 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 36201690 is about 6016.7840247095. The cubic root of 36201690 is about 330.8082118084.

The spelling of 36201690 in words is "thirty-six million, two hundred one thousand, six hundred ninety".