33482000 has 40 divisors (see below), whose sum is σ = 80964312. Its totient is φ = 13392000.

The previous prime is 33481999. The next prime is 33482021. The reversal of 33482000 is 28433.

It can be written as a sum of positive squares in 4 ways, for example, as 350464 + 33131536 = 592^2 + 5756^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33482000² = 2242088648000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6371 + ... + 10370.

Almost surely, 2^33482000 is an apocalyptic number.

It is an amenable number.

33482000 is an abundant number, since it is smaller than the sum of its proper divisors (47482312).

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

33482000 is a wasteful number, since it uses less digits than its factorization.

33482000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16764 (or 16748 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 33482000 is about 5786.3632792973. The cubic root of 33482000 is about 322.3075389531.

The spelling of 33482000 in words is "thirty-three million, four hundred eighty-two thousand".