33981400 has 48 divisors (see below), whose sum is σ = 79671240. Its totient is φ = 13478400.

The previous prime is 33981379. The next prime is 33981403. The reversal of 33981400 is 418933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33981403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25552 + ... + 26848.

Almost surely, 2^33981400 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 33981400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39835620).

33981400 is an abundant number, since it is smaller than the sum of its proper divisors (45689840).

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

33981400 is a wasteful number, since it uses less digits than its factorization.

33981400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 33981400 is about 5829.3567398127. The cubic root of 33981400 is about 323.9020940779.

The spelling of 33981400 in words is "thirty-three million, nine hundred eighty-one thousand, four hundred".