36333540 has 72 divisors (see below), whose sum is σ = 111803328. Its totient is φ = 9549120.

The previous prime is 36333527. The next prime is 36333541. The reversal of 36333540 is 4533363.

36333540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36333540² = 2640252257863200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36333541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11359 + ... + 14201.

It is an arithmetic number, because the mean of its divisors is an integer number (1552824).

Almost surely, 2^36333540 is an apocalyptic number.

36333540 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 36333540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55901664).

36333540 is an abundant number, since it is smaller than the sum of its proper divisors (75469788).

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

36333540 is a wasteful number, since it uses less digits than its factorization.

36333540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The square root of 36333540 is about 6027.7309163565. The cubic root of 36333540 is about 331.2093368858.

The spelling of 36333540 in words is "thirty-six million, three hundred thirty-three thousand, five hundred forty".