36650880 has 320 divisors, whose sum is σ = 151066080. Its totient is φ = 8294400.

The previous prime is 36650833. The next prime is 36650881. The reversal of 36650880 is 8805663.

36650880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36650881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362830 + ... + 362930.

Almost surely, 2^36650880 is an apocalyptic number.

36650880 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 36650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75533040).

36650880 is an abundant number, since it is smaller than the sum of its proper divisors (114415200).

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

36650880 is a wasteful number, since it uses less digits than its factorization.

36650880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 36650880 is about 6053.9970267584. The cubic root of 36650880 is about 332.1708125719.

Adding to 36650880 its sum of digits (36), we get a square (36650916 = 6054²).

The spelling of 36650880 in words is "thirty-six million, six hundred fifty thousand, eight hundred eighty".