36730400 has 108 divisors (see below), whose sum is σ = 104419098. Its totient is φ = 12579840.

The previous prime is 36730399. The next prime is 36730403. The reversal of 36730400 is 403763.

It can be written as a sum of positive squares in 3 ways, for example, as 17405584 + 19324816 = 4172^2 + 4396^2 .

It is not an unprimeable number, because it can be changed into a prime (36730403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38732 + ... + 39668.

Almost surely, 2^36730400 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 36730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52209549).

36730400 is an abundant number, since it is smaller than the sum of its proper divisors (67688698).

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

36730400 is a wasteful number, since it uses less digits than its factorization.

36730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 36730400 is about 6060.5610301357. The cubic root of 36730400 is about 332.4108717711.

The spelling of 36730400 in words is "thirty-six million, seven hundred thirty thousand, four hundred".