36345600 has 162 divisors, whose sum is σ = 130149656. Its totient is φ = 9676800.

The previous prime is 36345599. The next prime is 36345607. The reversal of 36345600 is 654363.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36345607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57285 + ... + 57915.

Almost surely, 2^36345600 is an apocalyptic number.

36345600 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 36345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65074828).

36345600 is an abundant number, since it is smaller than the sum of its proper divisors (93804056).

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

36345600 is a wasteful number, since it uses less digits than its factorization.

36345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 36345600 is about 6028.7312097986. The cubic root of 36345600 is about 331.2459783539.

Adding to 36345600 its reverse (654363), we get a palindrome (36999963).

The spelling of 36345600 in words is "thirty-six million, three hundred forty-five thousand, six hundred".