3413760480 has 432 divisors, whose sum is σ = 13348075104. Its totient is φ = 789626880.

The previous prime is 3413760391. The next prime is 3413760481. The reversal of 3413760480 is 840673143.

3413760480 is a `hidden beast` number, since 3 + 41 + 3 + 7 + 604 + 8 + 0 = 666.

It is a super-2 number, since 2×3413760480² = 23307521229619660800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413760481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5409765 + ... + 5410395.

It is an arithmetic number, because the mean of its divisors is an integer number (30898322).

Almost surely, 2^3413760480 is an apocalyptic number.

3413760480 is a gapful number since it is divisible by the number (30) 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 3413760480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6674037552).

3413760480 is an abundant number, since it is smaller than the sum of its proper divisors (9934314624).

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

3413760480 is a wasteful number, since it uses less digits than its factorization.

3413760480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3413760480 is about 58427.3949444950. The cubic root of 3413760480 is about 1505.7204499029.

The spelling of 3413760480 in words is "three billion, four hundred thirteen million, seven hundred sixty thousand, four hundred eighty".