36716400 has 360 divisors, whose sum is σ = 153513984. Its totient is φ = 7948800.

The previous prime is 36716399. The next prime is 36716401. The reversal of 36716400 is 461763.

It is an interprime number because it is at equal distance from previous prime (36716399) and next prime (36716401).

It is a tau number, because it is divible by the number of its divisors (360).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36716401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 781177 + ... + 781223.

Almost surely, 2^36716400 is an apocalyptic number.

36716400 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 36716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76756992).

36716400 is an abundant number, since it is smaller than the sum of its proper divisors (116797584).

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

36716400 is a wasteful number, since it uses less digits than its factorization.

36716400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36716400 is about 6059.4059114735. The cubic root of 36716400 is about 332.3686329753.

The spelling of 36716400 in words is "thirty-six million, seven hundred sixteen thousand, four hundred".