36333930 has 64 divisors (see below), whose sum is σ = 93063168. Its totient is φ = 9047040.

The previous prime is 36333929. The next prime is 36333931. The reversal of 36333930 is 3933363.

36333930 = T₂₀₅₉ + T₂₀₆₀ + ... + T₂₀₇₅.

It is an interprime number because it is at equal distance from previous prime (36333929) and next prime (36333931).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (36333931) 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, 97224 + ... + 97596.

It is an arithmetic number, because the mean of its divisors is an integer number (1454112).

Almost surely, 2^36333930 is an apocalyptic number.

36333930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36333930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46531584).

36333930 is an abundant number, since it is smaller than the sum of its proper divisors (56729238).

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

36333930 is a wasteful number, since it uses less digits than its factorization.

36333930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591.

The product of its (nonzero) digits is 13122, while the sum is 30.

The square root of 36333930 is about 6027.7632667516. The cubic root of 36333930 is about 331.2105219358.

The spelling of 36333930 in words is "thirty-six million, three hundred thirty-three thousand, nine hundred thirty".