33948120 has 64 divisors (see below), whose sum is σ = 102889440. Its totient is φ = 8960000.

The previous prime is 33948119. The next prime is 33948137. The reversal of 33948120 is 2184933.

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 15 ways as a sum of consecutive naturals, for example, 10720 + ... + 13520.

Almost surely, 2^33948120 is an apocalyptic number.

33948120 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 33948120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51444720).

33948120 is an abundant number, since it is smaller than the sum of its proper divisors (68941320).

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

33948120 is a wasteful number, since it uses less digits than its factorization.

33948120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 33948120 is about 5826.5015232127. The cubic root of 33948120 is about 323.7963206980.

The spelling of 33948120 in words is "thirty-three million, nine hundred forty-eight thousand, one hundred twenty".