33675642 has 192 divisors, whose sum is σ = 103420800. Its totient is φ = 7983360.

The previous prime is 33675613. The next prime is 33675667. The reversal of 33675642 is 24657633.

33675642 is a `hidden beast` number, since 3 + 3 + 6 + 7 + 5 + 642 = 666.

It is a super-2 number, since 2×33675642² = 2268097728224328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33675597 and 33675606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 378334 + ... + 378422.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 2^33675642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33675642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51710400).

33675642 is an abundant number, since it is smaller than the sum of its proper divisors (69745158).

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

33675642 is a wasteful number, since it uses less digits than its factorization.

33675642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 33675642 is about 5803.0717727769. The cubic root of 33675642 is about 322.9276964687.

Subtracting from 33675642 its reverse (24657633), we obtain a square (9018009 = 3003²).

It can be divided in two parts, 3367 and 5642, that added together give a palindrome (9009).

The spelling of 33675642 in words is "thirty-three million, six hundred seventy-five thousand, six hundred forty-two".