33374120 has 48 divisors (see below), whose sum is σ = 81328860. Its totient is φ = 12320256.

The previous prime is 33374119. The next prime is 33374167. The reversal of 33374120 is 2147333.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2748964 + 30625156 = 1658^2 + 5534^2 .

It is a super-2 number, since 2×33374120² = 2227663771548800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4292 + ... + 9228.

Almost surely, 2^33374120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33374120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40664430).

33374120 is an abundant number, since it is smaller than the sum of its proper divisors (47954740).

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

33374120 is a wasteful number, since it uses less digits than its factorization.

33374120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 33374120 is about 5777.0338409949. The cubic root of 33374120 is about 321.9610050125.

The spelling of 33374120 in words is "thirty-three million, three hundred seventy-four thousand, one hundred twenty".