33981948 has 288 divisors, whose sum is σ = 123282432. Its totient is φ = 7603200.

The previous prime is 33981919. The next prime is 33981953. The reversal of 33981948 is 84918933.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 828808 + ... + 828848.

It is an arithmetic number, because the mean of its divisors is an integer number (428064).

Almost surely, 2^33981948 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 33981948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61641216).

33981948 is an abundant number, since it is smaller than the sum of its proper divisors (89300484).

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

33981948 is a wasteful number, since it uses less digits than its factorization.

33981948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 100 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 33981948 is about 5829.4037430941. The cubic root of 33981948 is about 323.9038352009.

The spelling of 33981948 in words is "thirty-three million, nine hundred eighty-one thousand, nine hundred forty-eight".