33395040 has 144 divisors (see below), whose sum is σ = 130279968. Its totient is φ = 7630848.

The previous prime is 33395039. The next prime is 33395041. The reversal of 33395040 is 4059333.

It is an interprime number because it is at equal distance from previous prime (33395039) and next prime (33395041).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33395040² = 2230457393203200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 33394995 and 33395013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33395041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8424 + ... + 11736.

It is an arithmetic number, because the mean of its divisors is an integer number (904722).

Almost surely, 2^33395040 is an apocalyptic number.

33395040 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 33395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65139984).

33395040 is an abundant number, since it is smaller than the sum of its proper divisors (96884928).

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

33395040 is a wasteful number, since it uses less digits than its factorization.

33395040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 33395040 is about 5778.8441750925. The cubic root of 33395040 is about 322.0282628896.

The spelling of 33395040 in words is "thirty-three million, three hundred ninety-five thousand, forty".