36804768 has 192 divisors, whose sum is σ = 130056192. Its totient is φ = 8801280.

The previous prime is 36804763. The next prime is 36804769. The reversal of 36804768 is 86740863.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (36804763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95905 + ... + 96287.

It is an arithmetic number, because the mean of its divisors is an integer number (677376).

Almost surely, 2^36804768 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 36804768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65028096).

36804768 is an abundant number, since it is smaller than the sum of its proper divisors (93251424).

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

36804768 is a wasteful number, since it uses less digits than its factorization.

36804768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 36804768 is about 6066.6933332747. The cubic root of 36804768 is about 332.6350645055.

It can be divided in two parts, 3680 and 4768, that added together give a palindrome (8448).

The spelling of 36804768 in words is "thirty-six million, eight hundred four thousand, seven hundred sixty-eight".