33798000 has 160 divisors (see below), whose sum is σ = 112349952. Its totient is φ = 8736000.

The previous prime is 33797999. The next prime is 33798013. The reversal of 33798000 is 89733.

It is a super-2 number, since 2×33798000² = 2284609608000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 257935 + ... + 258065.

Almost surely, 2^33798000 is an apocalyptic number.

33798000 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 33798000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56174976).

33798000 is an abundant number, since it is smaller than the sum of its proper divisors (78551952).

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

33798000 is a wasteful number, since it uses less digits than its factorization.

33798000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 33798000 is about 5813.6047337259. The cubic root of 33798000 is about 323.3183351766.

The spelling of 33798000 in words is "thirty-three million, seven hundred ninety-eight thousand".