36780960 has 192 divisors, whose sum is σ = 126403200. Its totient is φ = 8957952.

The previous prime is 36780949. The next prime is 36780983. The reversal of 36780960 is 6908763.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 337386 + ... + 337494.

It is an arithmetic number, because the mean of its divisors is an integer number (658350).

Almost surely, 2^36780960 is an apocalyptic number.

36780960 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 36780960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63201600).

36780960 is an abundant number, since it is smaller than the sum of its proper divisors (89622240).

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

36780960 is a wasteful number, since it uses less digits than its factorization.

36780960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 36780960 is about 6064.7308266732. The cubic root of 36780960 is about 332.5633248527.

The spelling of 36780960 in words is "thirty-six million, seven hundred eighty thousand, nine hundred sixty".