36391600 has 120 divisors (see below), whose sum is σ = 102680928. Its totient is φ = 12134400.

The previous prime is 36391591. The next prime is 36391601. The reversal of 36391600 is 619363.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (36391601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114642 + ... + 114958.

Almost surely, 2^36391600 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 36391600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51340464).

36391600 is an abundant number, since it is smaller than the sum of its proper divisors (66289328).

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

36391600 is a wasteful number, since it uses less digits than its factorization.

36391600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 36391600 is about 6032.5450682113. The cubic root of 36391600 is about 331.3856641413.

The spelling of 36391600 in words is "thirty-six million, three hundred ninety-one thousand, six hundred".