33984048 has 60 divisors (see below), whose sum is σ = 102132600. Its totient is φ = 9709056.

The previous prime is 33984043. The next prime is 33984089. The reversal of 33984048 is 84048933.

It is a junction number, because it is equal to n+sod(n) for n = 33983997 and 33984015.

It is not an unprimeable number, because it can be changed into a prime (33984043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4873 + ... + 9576.

It is an arithmetic number, because the mean of its divisors is an integer number (1702210).

Almost surely, 2^33984048 is an apocalyptic number.

It is an amenable number.

33984048 is an abundant number, since it is smaller than the sum of its proper divisors (68148552).

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

33984048 is a wasteful number, since it uses less digits than its factorization.

33984048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14474 (or 14461 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 33984048 is about 5829.5838616491. The cubic root of 33984048 is about 323.9105072144.

The spelling of 33984048 in words is "thirty-three million, nine hundred eighty-four thousand, forty-eight".