3417504480 has 576 divisors, whose sum is σ = 13458493440. Its totient is φ = 808704000.

The previous prime is 3417504479. The next prime is 3417504487. The reversal of 3417504480 is 844057143.

3417504480 is a `hidden beast` number, since 3 + 4 + 175 + 0 + 4 + 480 = 666.

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 (3417504487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22632405 + ... + 22632555.

It is an arithmetic number, because the mean of its divisors is an integer number (23365440).

Almost surely, 2^3417504480 is an apocalyptic number.

3417504480 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 3417504480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729246720).

3417504480 is an abundant number, since it is smaller than the sum of its proper divisors (10040988960).

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

3417504480 is a wasteful number, since it uses less digits than its factorization.

3417504480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 3417504480 is about 58459.4259294427. The cubic root of 3417504480 is about 1506.2707089432.

The spelling of 3417504480 in words is "three billion, four hundred seventeen million, five hundred four thousand, four hundred eighty".