36481200 has 240 divisors, whose sum is σ = 138014976. Its totient is φ = 8064000.

The previous prime is 36481187. The next prime is 36481229. The reversal of 36481200 is 218463.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361150 + ... + 361250.

Almost surely, 2^36481200 is an apocalyptic number.

36481200 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 36481200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69007488).

36481200 is an abundant number, since it is smaller than the sum of its proper divisors (101533776).

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

36481200 is a wasteful number, since it uses less digits than its factorization.

36481200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 36481200 is about 6039.9668873265. The cubic root of 36481200 is about 331.6574101887.

Adding to 36481200 its reverse (218463), we get a palindrome (36699663).

The spelling of 36481200 in words is "thirty-six million, four hundred eighty-one thousand, two hundred".