33274000 has 80 divisors (see below), whose sum is σ = 81709056. Its totient is φ = 13104000.

The previous prime is 33273973. The next prime is 33274013. The reversal of 33274000 is 47233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33274000² = 2214318152000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253935 + ... + 254065.

Almost surely, 2^33274000 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 33274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40854528).

33274000 is an abundant number, since it is smaller than the sum of its proper divisors (48435056).

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

33274000 is a wasteful number, since it uses less digits than its factorization.

33274000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 33274000 is about 5768.3619858674. The cubic root of 33274000 is about 321.6387291130.

The spelling of 33274000 in words is "thirty-three million, two hundred seventy-four thousand".