33681642 has 32 divisors (see below), whose sum is σ = 72568320. Its totient is φ = 10387440.

The previous prime is 33681629. The next prime is 33681671. The reversal of 33681642 is 24618633.

It is a super-2 number, since 2×33681642² = 2268906015632328, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1467 + ... + 8337.

It is an arithmetic number, because the mean of its divisors is an integer number (2267760).

Almost surely, 2^33681642 is an apocalyptic number.

33681642 is an abundant number, since it is smaller than the sum of its proper divisors (38886678).

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

33681642 is a wasteful number, since it uses less digits than its factorization.

33681642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6938.

The product of its digits is 20736, while the sum is 33.

The square root of 33681642 is about 5803.5887173369. The cubic root of 33681642 is about 322.9468740404.

The spelling of 33681642 in words is "thirty-three million, six hundred eighty-one thousand, six hundred forty-two".