33948040 has 64 divisors (see below), whose sum is σ = 87816960. Its totient is φ = 11569920.

The previous prime is 33948017. The next prime is 33948043. The reversal of 33948040 is 4084933.

It is a junction number, because it is equal to n+sod(n) for n = 33947993 and 33948011.

It is not an unprimeable number, because it can be changed into a prime (33948043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73410 + ... + 73870.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 2^33948040 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 33948040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43908480).

33948040 is an abundant number, since it is smaller than the sum of its proper divisors (53868920).

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

33948040 is a wasteful number, since it uses less digits than its factorization.

33948040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 33948040 is about 5826.4946580255. The cubic root of 33948040 is about 323.7960663518.

The spelling of 33948040 in words is "thirty-three million, nine hundred forty-eight thousand, forty".