36530400 has 144 divisors (see below), whose sum is σ = 122992128. Its totient is φ = 9408000.

The previous prime is 36530393. The next prime is 36530411. The reversal of 36530400 is 403563.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74155 + ... + 74645.

It is an arithmetic number, because the mean of its divisors is an integer number (854112).

Almost surely, 2^36530400 is an apocalyptic number.

36530400 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 36530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61496064).

36530400 is an abundant number, since it is smaller than the sum of its proper divisors (86461728).

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

36530400 is a wasteful number, since it uses less digits than its factorization.

36530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 36530400 is about 6044.0383850535. The cubic root of 36530400 is about 331.8064386798.

Adding to 36530400 its reverse (403563), we get a palindrome (36933963).

The spelling of 36530400 in words is "thirty-six million, five hundred thirty thousand, four hundred".