36361920 has 168 divisors, whose sum is σ = 134471664. Its totient is φ = 8300544.

The previous prime is 36361909. The next prime is 36361921. The reversal of 36361920 is 2916363.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (36361921) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 46654 + ... + 47426.

Almost surely, 2^36361920 is an apocalyptic number.

36361920 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 36361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67235832).

36361920 is an abundant number, since it is smaller than the sum of its proper divisors (98109744).

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

36361920 is a wasteful number, since it uses less digits than its factorization.

36361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 36361920 is about 6030.0845765213. The cubic root of 36361920 is about 331.2955499246.

The spelling of 36361920 in words is "thirty-six million, three hundred sixty-one thousand, nine hundred twenty".