36545600 has 168 divisors, whose sum is σ = 111117888. Its totient is φ = 11520000.

The previous prime is 36545591. The next prime is 36545609. The reversal of 36545600 is 654563.

It is an interprime number because it is at equal distance from previous prime (36545591) and next prime (36545609).

It is not an unprimeable number, because it can be changed into a prime (36545609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145475 + ... + 145725.

It is an arithmetic number, because the mean of its divisors is an integer number (661416).

Almost surely, 2^36545600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55558944).

36545600 is an abundant number, since it is smaller than the sum of its proper divisors (74572288).

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

36545600 is a wasteful number, since it uses less digits than its factorization.

36545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 36545600 is about 6045.2956916928. The cubic root of 36545600 is about 331.8524529448.

The spelling of 36545600 in words is "thirty-six million, five hundred forty-five thousand, six hundred".