36984780 has 144 divisors (see below), whose sum is σ = 129729600. Its totient is φ = 8354304.

The previous prime is 36984757. The next prime is 36984791. The reversal of 36984780 is 8748963.

It is a happy number.

36984780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a plaindrome in base 16.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 187642 + ... + 187838.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 2^36984780 is an apocalyptic number.

36984780 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 36984780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64864800).

36984780 is an abundant number, since it is smaller than the sum of its proper divisors (92744820).

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

36984780 is a wasteful number, since it uses less digits than its factorization.

36984780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 36984780 is about 6081.5113253204. The cubic root of 36984780 is about 333.1764884328.

The spelling of 36984780 in words is "thirty-six million, nine hundred eighty-four thousand, seven hundred eighty".