36033312 has 144 divisors (see below), whose sum is σ = 114488640. Its totient is φ = 9709056.

The previous prime is 36033307. The next prime is 36033317. The reversal of 36033312 is 21333063.

It is an interprime number because it is at equal distance from previous prime (36033307) and next prime (36033317).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (36033317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 837963 + ... + 838005.

It is an arithmetic number, because the mean of its divisors is an integer number (795060).

Almost surely, 2^36033312 is an apocalyptic number.

36033312 is a gapful number since it is divisible by the number (32) 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 36033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57244320).

36033312 is an abundant number, since it is smaller than the sum of its proper divisors (78455328).

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

36033312 is a wasteful number, since it uses less digits than its factorization.

36033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 36033312 is about 6002.7753581156. The cubic root of 36033312 is about 330.2945396033.

Adding to 36033312 its reverse (21333063), we get a palindrome (57366375).

The spelling of 36033312 in words is "thirty-six million, thirty-three thousand, three hundred twelve".