33465040 has 60 divisors (see below), whose sum is σ = 90519876. Its totient is φ = 11472384.

The previous prime is 33465031. The next prime is 33465049. The reversal of 33465040 is 4056433.

It is an interprime number because it is at equal distance from previous prime (33465031) and next prime (33465049).

It can be written as a sum of positive squares in 2 ways, for example, as 21603904 + 11861136 = 4648^2 + 3444^2 .

It is a super-3 number, since 3×33465040³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 33464996 and 33465014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33465049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349 + ... + 8188.

Almost surely, 2^33465040 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 33465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45259938).

33465040 is an abundant number, since it is smaller than the sum of its proper divisors (57054836).

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

33465040 is a wasteful number, since it uses less digits than its factorization.

33465040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8564 (or 8551 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 33465040 is about 5784.8975790415. The cubic root of 33465040 is about 322.2531091192.

The spelling of 33465040 in words is "thirty-three million, four hundred sixty-five thousand, forty".