33999642 has 16 divisors (see below), whose sum is σ = 75554880. Its totient is φ = 11333196.

The previous prime is 33999577. The next prime is 33999649. The reversal of 33999642 is 24699933.

It is a super-2 number, since 2×33999642² = 2311951312256328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33999649) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 314758 + ... + 314865.

It is an arithmetic number, because the mean of its divisors is an integer number (4722180).

Almost surely, 2^33999642 is an apocalyptic number.

33999642 is an abundant number, since it is smaller than the sum of its proper divisors (41555238).

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

33999642 is a wasteful number, since it uses less digits than its factorization.

33999642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629634 (or 629628 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 33999642 is about 5830.9211965178. The cubic root of 33999642 is about 323.9600430835.

It can be divided in two parts, 3399 and 9642, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 33999642 in words is "thirty-three million, nine hundred ninety-nine thousand, six hundred forty-two".