33381000 has 96 divisors (see below), whose sum is σ = 112858200. Its totient is φ = 8899200.

The previous prime is 33380987. The next prime is 33381037. The reversal of 33381000 is 18333.

It can be written as a sum of positive squares in 4 ways, for example, as 6320196 + 27060804 = 2514^2 + 5202^2 .

It is a super-2 number, since 2×33381000² = 2228582322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7146 + ... + 10854.

Almost surely, 2^33381000 is an apocalyptic number.

33381000 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 33381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56429100).

33381000 is an abundant number, since it is smaller than the sum of its proper divisors (79477200).

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

33381000 is a wasteful number, since it uses less digits than its factorization.

33381000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 33381000 is about 5777.6292715957. The cubic root of 33381000 is about 321.9831273388.

Adding to 33381000 its reverse (18333), we get a palindrome (33399333).

The spelling of 33381000 in words is "thirty-three million, three hundred eighty-one thousand".