33481008 has 120 divisors (see below), whose sum is σ = 106778880. Its totient is φ = 9694080.

The previous prime is 33481003. The next prime is 33481013. The reversal of 33481008 is 80018433.

It is an interprime number because it is at equal distance from previous prime (33481003) and next prime (33481013).

It is a super-2 number, since 2×33481008² = 2241955793392128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33481003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35973 + ... + 36891.

It is an arithmetic number, because the mean of its divisors is an integer number (889824).

Almost surely, 2^33481008 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 33481008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53389440).

33481008 is an abundant number, since it is smaller than the sum of its proper divisors (73297872).

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

33481008 is a wasteful number, since it uses less digits than its factorization.

33481008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 33481008 is about 5786.2775598825. The cubic root of 33481008 is about 322.3043558275.

It can be divided in two parts, 3348 and 1008, that added together give a square (4356 = 66²).

The spelling of 33481008 in words is "thirty-three million, four hundred eighty-one thousand, eight".