3305138742 has 64 divisors (see below), whose sum is σ = 7872984000. Its totient is φ = 1036882944.

The previous prime is 3305138737. The next prime is 3305138773. The reversal of 3305138742 is 2478315033.

It is a junction number, because it is equal to n+sod(n) for n = 3305138697 and 3305138706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52134 + ... + 96582.

It is an arithmetic number, because the mean of its divisors is an integer number (123015375).

Almost surely, 2^3305138742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3305138742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936492000).

3305138742 is an abundant number, since it is smaller than the sum of its proper divisors (4567845258).

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

3305138742 is an equidigital number, since it uses as much as digits as its factorization.

3305138742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44489 (or 44471 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3305138742 is about 57490.3360748570. The cubic root of 3305138742 is about 1489.5779388029.

The spelling of 3305138742 in words is "three billion, three hundred five million, one hundred thirty-eight thousand, seven hundred forty-two".