36129984 has 56 divisors (see below), whose sum is σ = 104290368. Its totient is φ = 10947840.

The previous prime is 36129971. The next prime is 36130013. The reversal of 36129984 is 48992163.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6442 + ... + 10665.

It is an arithmetic number, because the mean of its divisors is an integer number (1862328).

Almost surely, 2^36129984 is an apocalyptic number.

It is an amenable number.

36129984 is an abundant number, since it is smaller than the sum of its proper divisors (68160384).

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

36129984 is a wasteful number, since it uses less digits than its factorization.

36129984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17133 (or 17123 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 36129984 is about 6010.8222399269. The cubic root of 36129984 is about 330.5896528357.

The spelling of 36129984 in words is "thirty-six million, one hundred twenty-nine thousand, nine hundred eighty-four".