3301011332032 has 168 divisors, whose sum is σ = 7018223124816. Its totient is φ = 1540092911616.

The previous prime is 3301011332029. The next prime is 3301011332039. The reversal of 3301011332032 is 2302331101033.

It is a junction number, because it is equal to n+sod(n) for n = 3301011331994 and 3301011332012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3301011332039) 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, 425548698 + ... + 425556454.

Almost surely, 2^{3301011332032} is an apocalyptic number.

3301011332032 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 3301011332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509111562408).

3301011332032 is an abundant number, since it is smaller than the sum of its proper divisors (3717211792784).

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

3301011332032 is a wasteful number, since it uses less digits than its factorization.

3301011332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8083 (or 8054 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 3301011332032 its reverse (2302331101033), we get a palindrome (5603342433065).

The spelling of 3301011332032 in words is "three trillion, three hundred one billion, eleven million, three hundred thirty-two thousand, thirty-two".