33321220008 has 128 divisors (see below), whose sum is σ = 87834240000. Its totient is φ = 10513552896.

The previous prime is 33321220007. The next prime is 33321220027. The reversal of 33321220008 is 80002212333.

It is a super-2 number, since 2×33321220008² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 33321220008.

It is not an unprimeable number, because it can be changed into a prime (33321220007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37735935 + ... + 37736817.

It is an arithmetic number, because the mean of its divisors is an integer number (686205000).

Almost surely, 2^33321220008 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 33321220008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43917120000).

33321220008 is an abundant number, since it is smaller than the sum of its proper divisors (54513019992).

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

33321220008 is a wasteful number, since it uses less digits than its factorization.

33321220008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

It can be divided in two parts, 333212 and 20008, that added together give a triangular number (353220 = T₈₄₀).

The spelling of 33321220008 in words is "thirty-three billion, three hundred twenty-one million, two hundred twenty thousand, eight".