36009600 has 288 divisors, whose sum is σ = 134574720. Its totient is φ = 8448000.

The previous prime is 36009599. The next prime is 36009613. The reversal of 36009600 is 690063.

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 35 ways as a sum of consecutive naturals, for example, 1161585 + ... + 1161615.

Almost surely, 2^36009600 is an apocalyptic number.

36009600 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 36009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67287360).

36009600 is an abundant number, since it is smaller than the sum of its proper divisors (98565120).

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

36009600 is a wasteful number, since it uses less digits than its factorization.

36009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 36009600 is about 6000.7999466738. The cubic root of 36009600 is about 330.2220727454. Note that the first 3 decimals are identical.

Adding to 36009600 its reverse (690063), we get a palindrome (36699663).

The spelling of 36009600 in words is "thirty-six million, nine thousand, six hundred".