36545400 has 144 divisors (see below), whose sum is σ = 124768800. Its totient is φ = 9584640.

The previous prime is 36545389. The next prime is 36545407. The reversal of 36545400 is 454563.

36545400 is a `hidden beast` number, since 3 + 654 + 5 + 4 + 0 + 0 = 666.

36545400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36545400² = 2671132522320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36545407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142072 + ... + 142328.

It is an arithmetic number, because the mean of its divisors is an integer number (866450).

Almost surely, 2^36545400 is an apocalyptic number.

36545400 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 36545400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62384400).

36545400 is an abundant number, since it is smaller than the sum of its proper divisors (88223400).

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

36545400 is a wasteful number, since it uses less digits than its factorization.

36545400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 36545400 is about 6045.2791498822. The cubic root of 36545400 is about 331.8518475768.

Adding to 36545400 its reverse (454563), we get a palindrome (36999963).

The spelling of 36545400 in words is "thirty-six million, five hundred forty-five thousand, four hundred".