3415041760 has 96 divisors (see below), whose sum is σ = 9146057760. Its totient is φ = 1194559488.

The previous prime is 3415041757. The next prime is 3415041767. The reversal of 3415041760 is 671405143.

3415041760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3415041767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3687 + ... + 82726.

It is an arithmetic number, because the mean of its divisors is an integer number (95271435).

Almost surely, 2^3415041760 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 3415041760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573028880).

3415041760 is an abundant number, since it is smaller than the sum of its proper divisors (5731016000).

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

3415041760 is a wasteful number, since it uses less digits than its factorization.

3415041760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86460 (or 86452 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 3415041760 is about 58438.3586354032. The cubic root of 3415041760 is about 1505.9088060371.

The spelling of 3415041760 in words is "three billion, four hundred fifteen million, forty-one thousand, seven hundred sixty".