33981120 has 336 divisors, whose sum is σ = 133136640. Its totient is φ = 8211456.

The previous prime is 33981107. The next prime is 33981131. The reversal of 33981120 is 2118933.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1477429 + ... + 1477451.

It is an arithmetic number, because the mean of its divisors is an integer number (396240).

Almost surely, 2^33981120 is an apocalyptic number.

33981120 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 33981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66568320).

33981120 is an abundant number, since it is smaller than the sum of its proper divisors (99155520).

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

33981120 is a wasteful number, since it uses less digits than its factorization.

33981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 33981120 is about 5829.3327233912. The cubic root of 33981120 is about 323.9012044458.

The spelling of 33981120 in words is "thirty-three million, nine hundred eighty-one thousand, one hundred twenty".