36306400 has 72 divisors (see below), whose sum is σ = 95478264. Its totient is φ = 13401600.

The previous prime is 36306377. The next prime is 36306401. The reversal of 36306400 is 460363.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36306401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8655 + ... + 12145.

It is an arithmetic number, because the mean of its divisors is an integer number (1326087).

Almost surely, 2^36306400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47739132).

36306400 is an abundant number, since it is smaller than the sum of its proper divisors (59171864).

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

36306400 is a wasteful number, since it uses less digits than its factorization.

36306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 36306400 is about 6025.4792340527. The cubic root of 36306400 is about 331.1268487266.

Adding to 36306400 its reverse (460363), we get a palindrome (36766763).

The spelling of 36306400 in words is "thirty-six million, three hundred six thousand, four hundred".