33485406090 has 128 divisors (see below), whose sum is σ = 88694341632. Its totient is φ = 8053724160.

The previous prime is 33485406047. The next prime is 33485406091. The reversal of 33485406090 is 9060458433.

It is a super-3 number, since 3×33485406090³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (33485406091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1618149 + ... + 1638711.

It is an arithmetic number, because the mean of its divisors is an integer number (692924544).

Almost surely, 2^33485406090 is an apocalyptic number.

33485406090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33485406090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44347170816).

33485406090 is an abundant number, since it is smaller than the sum of its proper divisors (55208935542).

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

33485406090 is a wasteful number, since it uses less digits than its factorization.

33485406090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20724.

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 33485406090 in words is "thirty-three billion, four hundred eighty-five million, four hundred six thousand, ninety".