3417078480 has 80 divisors (see below), whose sum is σ = 10766644224. Its totient is φ = 896279040.

The previous prime is 3417078479. The next prime is 3417078517. The reversal of 3417078480 is 848707143.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3417078480² = 23352850676958220800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102064 + ... + 131343.

Almost surely, 2^3417078480 is an apocalyptic number.

3417078480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3417078480 is an abundant number, since it is smaller than the sum of its proper divisors (7349565744).

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

3417078480 is a wasteful number, since it uses less digits than its factorization.

3417078480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233484 (or 233478 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 3417078480 is about 58455.7822631774. The cubic root of 3417078480 is about 1506.2081196094.

The spelling of 3417078480 in words is "three billion, four hundred seventeen million, seventy-eight thousand, four hundred eighty".