36487200 has 144 divisors (see below), whose sum is σ = 124117056. Its totient is φ = 9292800.

The previous prime is 36487183. The next prime is 36487207. The reversal of 36487200 is 278463.

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 (36487207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54870 + ... + 55530.

It is an arithmetic number, because the mean of its divisors is an integer number (861924).

Almost surely, 2^36487200 is an apocalyptic number.

36487200 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 36487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62058528).

36487200 is an abundant number, since it is smaller than the sum of its proper divisors (87629856).

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

36487200 is a wasteful number, since it uses less digits than its factorization.

36487200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 36487200 is about 6040.4635583703. The cubic root of 36487200 is about 331.6755915659.

The spelling of 36487200 in words is "thirty-six million, four hundred eighty-seven thousand, two hundred".