33405952 has 88 divisors (see below), whose sum is σ = 75165840. Its totient is φ = 14745600.

The previous prime is 33405947. The next prime is 33405973. The reversal of 33405952 is 25950433.

It is a super-2 number, since 2×33405952² = 2231915258052608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330702 + ... + 330802.

Almost surely, 2^33405952 is an apocalyptic number.

33405952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33405952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37582920).

33405952 is an abundant number, since it is smaller than the sum of its proper divisors (41759888).

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

33405952 is a wasteful number, since it uses less digits than its factorization.

33405952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 33405952 is about 5779.7882314147. The cubic root of 33405952 is about 322.0633338636.

The spelling of 33405952 in words is "thirty-three million, four hundred five thousand, nine hundred fifty-two".