36729600 has 108 divisors (see below), whose sum is σ = 121278696. Its totient is φ = 9789440.

The previous prime is 36729599. The next prime is 36729617. The reversal of 36729600 is 692763.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18244 + ... + 20156.

Almost surely, 2^36729600 is an apocalyptic number.

36729600 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 36729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60639348).

36729600 is an abundant number, since it is smaller than the sum of its proper divisors (84549096).

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

36729600 is a wasteful number, since it uses less digits than its factorization.

36729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 36729600 is about 6060.4950292860. The cubic root of 36729600 is about 332.4084584148.

The spelling of 36729600 in words is "thirty-six million, seven hundred twenty-nine thousand, six hundred".