33474000 has 160 divisors (see below), whose sum is σ = 123492096. Its totient is φ = 7641600.

The previous prime is 33473977. The next prime is 33474013. The reversal of 33474000 is 47433.

It is a super-2 number, since 2×33474000² = 2241017352000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41602 + ... + 42398.

Almost surely, 2^33474000 is an apocalyptic number.

33474000 is a gapful number since it is divisible by the number (30) 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 33474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61746048).

33474000 is an abundant number, since it is smaller than the sum of its proper divisors (90018096).

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

33474000 is a wasteful number, since it uses less digits than its factorization.

33474000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 33474000 is about 5785.6719575171. The cubic root of 33474000 is about 322.2818667939.

The spelling of 33474000 in words is "thirty-three million, four hundred seventy-four thousand".