3313988160 has 224 divisors, whose sum is σ = 12732837120. Its totient is φ = 712900608.

The previous prime is 3313988141. The next prime is 3313988179. The reversal of 3313988160 is 618893133.

It is an interprime number because it is at equal distance from previous prime (3313988141) and next prime (3313988179).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99736 + ... + 128744.

Almost surely, 2^3313988160 is an apocalyptic number.

3313988160 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 3313988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6366418560).

3313988160 is an abundant number, since it is smaller than the sum of its proper divisors (9418848960).

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

3313988160 is a wasteful number, since it uses less digits than its factorization.

3313988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29053 (or 29043 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 3313988160 is about 57567.2490223391. The cubic root of 3313988160 is about 1490.9061886988.

The spelling of 3313988160 in words is "three billion, three hundred thirteen million, nine hundred eighty-eight thousand, one hundred sixty".