36945600 has 168 divisors, whose sum is σ = 124724160. Its totient is φ = 9569280.

The previous prime is 36945589. The next prime is 36945617. The reversal of 36945600 is 654963.

It is a happy number.

36945600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206311 + ... + 206489.

Almost surely, 2^36945600 is an apocalyptic number.

36945600 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 36945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62362080).

36945600 is an abundant number, since it is smaller than the sum of its proper divisors (87778560).

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

36945600 is a wasteful number, since it uses less digits than its factorization.

36945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 36945600 is about 6078.2892329997. The cubic root of 36945600 is about 333.0587961723.

The spelling of 36945600 in words is "thirty-six million, nine hundred forty-five thousand, six hundred".