33689952 has 48 divisors (see below), whose sum is σ = 98264880. Its totient is φ = 11229696.

The previous prime is 33689947. The next prime is 33689969. The reversal of 33689952 is 25998633.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33689952² = 2270025731524608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33689898 and 33689907.

It is a congruent number.

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, 18633 + ... + 20360.

It is an arithmetic number, because the mean of its divisors is an integer number (2047185).

Almost surely, 2^33689952 is an apocalyptic number.

33689952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33689952 is an abundant number, since it is smaller than the sum of its proper divisors (64574928).

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

33689952 is a wasteful number, since it uses less digits than its factorization.

33689952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39012 (or 38998 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 33689952 is about 5804.3046095118. The cubic root of 33689952 is about 322.9734312160.

The spelling of 33689952 in words is "thirty-three million, six hundred eighty-nine thousand, nine hundred fifty-two".