33406338 has 72 divisors (see below), whose sum is σ = 80840592. Its totient is φ = 9174816.

The previous prime is 33406337. The next prime is 33406339. The reversal of 33406338 is 83360433.

It is an interprime number because it is at equal distance from previous prime (33406337) and next prime (33406339).

It is a super-2 number, since 2×33406338² = 2231966837140488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33406337) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402445 + ... + 402527.

It is an arithmetic number, because the mean of its divisors is an integer number (1122786).

Almost surely, 2^33406338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33406338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40420296).

33406338 is an abundant number, since it is smaller than the sum of its proper divisors (47434254).

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

33406338 is a wasteful number, since it uses less digits than its factorization.

33406338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 33406338 is about 5779.8216235451. The cubic root of 33406338 is about 322.0645743209.

The spelling of 33406338 in words is "thirty-three million, four hundred six thousand, three hundred thirty-eight".