36546400 has 72 divisors (see below), whose sum is σ = 97353144. Its totient is φ = 13286400.

The previous prime is 36546383. The next prime is 36546403. The reversal of 36546400 is 464563.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36546403) 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, 6724 + ... + 10876.

It is an arithmetic number, because the mean of its divisors is an integer number (1352127).

Almost surely, 2^36546400 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 36546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48676572).

36546400 is an abundant number, since it is smaller than the sum of its proper divisors (60806744).

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

36546400 is a wasteful number, since it uses less digits than its factorization.

36546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4184 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 36546400 is about 6045.3618584829. The cubic root of 36546400 is about 331.8548743948.

The spelling of 36546400 in words is "thirty-six million, five hundred forty-six thousand, four hundred".