36433980 has 72 divisors (see below), whose sum is σ = 120569904. Its totient is φ = 8832000.

The previous prime is 36433979. The next prime is 36433987. The reversal of 36433980 is 8933463.

36433980 is a `hidden beast` number, since 3 + 643 + 3 + 9 + 8 + 0 = 666.

36433980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36433987) 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, 7221 + ... + 11180.

It is an arithmetic number, because the mean of its divisors is an integer number (1674582).

Almost surely, 2^36433980 is an apocalyptic number.

36433980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36433980 is an abundant number, since it is smaller than the sum of its proper divisors (84135924).

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

36433980 is a wasteful number, since it uses less digits than its factorization.

36433980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18427 (or 18422 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 36433980 is about 6036.0566597738. The cubic root of 36433980 is about 331.5142531221.

The spelling of 36433980 in words is "thirty-six million, four hundred thirty-three thousand, nine hundred eighty".