3314516160 has 224 divisors, whose sum is σ = 10804550400. Its totient is φ = 860590080.

The previous prime is 3314516159. The next prime is 3314516171. The reversal of 3314516160 is 616154133.

It is a super-2 number, since 2×3314516160² = 21972034749802291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7872750 + ... + 7873170.

It is an arithmetic number, because the mean of its divisors is an integer number (48234600).

Almost surely, 2^3314516160 is an apocalyptic number.

3314516160 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 3314516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5402275200).

3314516160 is an abundant number, since it is smaller than the sum of its proper divisors (7490034240).

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

3314516160 is a wasteful number, since it uses less digits than its factorization.

3314516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 3314516160 is about 57571.8347805591. The cubic root of 3314516160 is about 1490.9853638624.

The spelling of 3314516160 in words is "three billion, three hundred fourteen million, five hundred sixteen thousand, one hundred sixty".