36370800 has 90 divisors (see below), whose sum is σ = 126229272. Its totient is φ = 9697920.

The previous prime is 36370799. The next prime is 36370847. The reversal of 36370800 is 807363.

It is a happy number.

36370800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 1452 + ... + 8651.

Almost surely, 2^36370800 is an apocalyptic number.

36370800 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 36370800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63114636).

36370800 is an abundant number, since it is smaller than the sum of its proper divisors (89858472).

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

36370800 is a wasteful number, since it uses less digits than its factorization.

36370800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10127 (or 10113 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36370800 is about 6030.8208396536. The cubic root of 36370800 is about 331.3225164602.

The spelling of 36370800 in words is "thirty-six million, three hundred seventy thousand, eight hundred".