3417666720 has 144 divisors (see below), whose sum is σ = 11657755872. Its totient is φ = 841251840.

The previous prime is 3417666709. The next prime is 3417666737. The reversal of 3417666720 is 276667143.

It is a happy number.

3417666720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60055 + ... + 102185.

It is an arithmetic number, because the mean of its divisors is an integer number (80956638).

Almost surely, 2^3417666720 is an apocalyptic number.

3417666720 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 3417666720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828877936).

3417666720 is an abundant number, since it is smaller than the sum of its proper divisors (8240089152).

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

3417666720 is a wasteful number, since it uses less digits than its factorization.

3417666720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42175 (or 42154 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 3417666720 is about 58460.8135420642. The cubic root of 3417666720 is about 1506.2945444148.

The spelling of 3417666720 in words is "three billion, four hundred seventeen million, six hundred sixty-six thousand, seven hundred twenty".