33485840 has 40 divisors (see below), whose sum is σ = 78095448. Its totient is φ = 13352960.

The previous prime is 33485839. The next prime is 33485867. The reversal of 33485840 is 4858433.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5438224 + 28047616 = 2332^2 + 5296^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33485840² = 2242602961011200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33485840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50954 + ... + 51606.

Almost surely, 2^33485840 is an apocalyptic number.

It is an amenable number.

33485840 is an abundant number, since it is smaller than the sum of its proper divisors (44609608).

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

33485840 is a wasteful number, since it uses less digits than its factorization.

33485840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 33485840 is about 5786.6950844156. The cubic root of 33485840 is about 322.3198601370.

It can be divided in two parts, 3 and 3485840, that added together give a palindrome (3485843).

The spelling of 33485840 in words is "thirty-three million, four hundred eighty-five thousand, eight hundred forty".