3414848480 has 96 divisors (see below), whose sum is σ = 8563242240. Its totient is φ = 1282416640.

The previous prime is 3414848471. The next prime is 3414848527. The reversal of 3414848480 is 848484143.

3414848480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3414848480² = 23322380282716620800, which contains 22 as substring.

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, 1301570 + ... + 1304190.

It is an arithmetic number, because the mean of its divisors is an integer number (89200440).

Almost surely, 2^3414848480 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 3414848480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281621120).

3414848480 is an abundant number, since it is smaller than the sum of its proper divisors (5148393760).

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

3414848480 is a wasteful number, since it uses less digits than its factorization.

3414848480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 44.

The square root of 3414848480 is about 58436.7049036819. The cubic root of 3414848480 is about 1505.8803956920.

It can be divided in two parts, 34148 and 48480, that added together give a palindrome (82628).

The spelling of 3414848480 in words is "three billion, four hundred fourteen million, eight hundred forty-eight thousand, four hundred eighty".