33946240 has 128 divisors (see below), whose sum is σ = 88128000. Its totient is φ = 12472320.

The previous prime is 33946207. The next prime is 33946243. The reversal of 33946240 is 4264933.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (33946243) 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, 575331 + ... + 575389.

It is an arithmetic number, because the mean of its divisors is an integer number (688500).

Almost surely, 2^33946240 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 33946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44064000).

33946240 is an abundant number, since it is smaller than the sum of its proper divisors (54181760).

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

33946240 is a wasteful number, since it uses less digits than its factorization.

33946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 33946240 is about 5826.3401891754. The cubic root of 33946240 is about 323.7903434566.

The spelling of 33946240 in words is "thirty-three million, nine hundred forty-six thousand, two hundred forty".