33004322340032 has 112 divisors (see below), whose sum is σ = 67535793239040. Its totient is φ = 15994811492352.

The previous prime is 33004322340019. The next prime is 33004322340083. The reversal of 33004322340032 is 23004322340033.

It is a super-2 number, since 2×33004322340032² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33004322339977 and 33004322340004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172572653 + ... + 172763795.

It is an arithmetic number, because the mean of its divisors is an integer number (602998153920).

Almost surely, 2^{33004322340032} is an apocalyptic number.

33004322340032 is a gapful number since it is divisible by the number (32) 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 33004322340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33767896619520).

33004322340032 is an abundant number, since it is smaller than the sum of its proper divisors (34531470899008).

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

33004322340032 is a wasteful number, since it uses less digits than its factorization.

33004322340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191758 (or 191748 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 29.

Adding to 33004322340032 its reverse (23004322340033), we get a palindrome (56008644680065).

Subtracting from 33004322340032 its reverse (23004322340033), we obtain a palindrome (9999999999999).

The spelling of 33004322340032 in words is "thirty-three trillion, four billion, three hundred twenty-two million, three hundred forty thousand, thirty-two".