3466317120 has 448 divisors, whose sum is σ = 13469331456. Its totient is φ = 738017280.

The previous prime is 3466317089. The next prime is 3466317137. The reversal of 3466317120 is 217136643.

3466317120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×3466317120³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6336687 + ... + 6337233.

It is an arithmetic number, because the mean of its divisors is an integer number (30065472).

Almost surely, 2^3466317120 is an apocalyptic number.

3466317120 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 3466317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734665728).

3466317120 is an abundant number, since it is smaller than the sum of its proper divisors (10003014336).

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

3466317120 is a wasteful number, since it uses less digits than its factorization.

3466317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3466317120 is about 58875.4373232165. The cubic root of 3466317120 is about 1513.4082509740.

The spelling of 3466317120 in words is "three billion, four hundred sixty-six million, three hundred seventeen thousand, one hundred twenty".