3311311330032 has 160 divisors (see below), whose sum is σ = 8740315584000. Its totient is φ = 1079946117120.

The previous prime is 3311311330003. The next prime is 3311311330099. The reversal of 3311311330032 is 2300331131133.

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

It is a junction number, because it is equal to n+sod(n) for n = 3311311329984 and 3311311330011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677295844 + ... + 677300732.

It is an arithmetic number, because the mean of its divisors is an integer number (54626972400).

Almost surely, 2^{3311311330032} 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 3311311330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370157792000).

3311311330032 is an abundant number, since it is smaller than the sum of its proper divisors (5429004253968).

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

3311311330032 is a wasteful number, since it uses less digits than its factorization.

3311311330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6039 (or 6033 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 3311311330032 its reverse (2300331131133), we get a palindrome (5611642461165).

The spelling of 3311311330032 in words is "three trillion, three hundred eleven billion, three hundred eleven million, three hundred thirty thousand, thirty-two".