3411871456 has 96 divisors (see below), whose sum is σ = 7776276480. Its totient is φ = 1443419136.

The previous prime is 3411871433. The next prime is 3411871469. The reversal of 3411871456 is 6541781143.

It is a congruent number.

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, 8341780 + ... + 8342188.

It is an arithmetic number, because the mean of its divisors is an integer number (81002880).

Almost surely, 2^3411871456 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 3411871456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888138240).

3411871456 is an abundant number, since it is smaller than the sum of its proper divisors (4364405024).

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

3411871456 is a wasteful number, since it uses less digits than its factorization.

3411871456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 808 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 3411871456 is about 58411.2271399942. The cubic root of 3411871456 is about 1505.4426656345.

The spelling of 3411871456 in words is "three billion, four hundred eleven million, eight hundred seventy-one thousand, four hundred fifty-six".