36330768 has 150 divisors (see below), whose sum is σ = 112852586. Its totient is φ = 11280384.

The previous prime is 36330761. The next prime is 36330769. The reversal of 36330768 is 86703363.

It can be written as a sum of positive squares in 3 ways, for example, as 13749264 + 22581504 = 3708^2 + 4752^2 .

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

It is not an unprimeable number, because it can be changed into a prime (36330761) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 374496 + ... + 374592.

Almost surely, 2^36330768 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 36330768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56426293).

36330768 is an abundant number, since it is smaller than the sum of its proper divisors (76521818).

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

36330768 is a wasteful number, since it uses less digits than its factorization.

36330768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 36330768 is about 6027.5009746992. The cubic root of 36330768 is about 331.2009136711.

The spelling of 36330768 in words is "thirty-six million, three hundred thirty thousand, seven hundred sixty-eight".