33895040 has 64 divisors (see below), whose sum is σ = 81738720. Its totient is φ = 13440000.

The previous prime is 33895021. The next prime is 33895049. The reversal of 33895040 is 4059833.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33895040² = 2297747473203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 33894988 and 33895006.

It is not an unprimeable number, because it can be changed into a prime (33895049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134915 + ... + 135165.

Almost surely, 2^33895040 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 33895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40869360).

33895040 is an abundant number, since it is smaller than the sum of its proper divisors (47843680).

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

33895040 is a wasteful number, since it uses less digits than its factorization.

33895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 33895040 is about 5821.9446922828. The cubic root of 33895040 is about 323.6274740952.

The spelling of 33895040 in words is "thirty-three million, eight hundred ninety-five thousand, forty".