3389312160 has 240 divisors, whose sum is σ = 12882199176. Its totient is φ = 834250752.

The previous prime is 3389312123. The next prime is 3389312167. The reversal of 3389312160 is 612139833.

3389312160 is a `hidden beast` number, since 338 + 9 + 312 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1593925776 + 1795386384 = 39924^2 + 42372^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3389312160² = 22974873835847731200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3389312167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158422 + ... + 178538.

Almost surely, 2^3389312160 is an apocalyptic number.

3389312160 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 3389312160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441099588).

3389312160 is an abundant number, since it is smaller than the sum of its proper divisors (9492887016).

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

3389312160 is a wasteful number, since it uses less digits than its factorization.

3389312160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20157 (or 20140 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3389312160 is about 58217.7993400644. The cubic root of 3389312160 is about 1502.1173298699.

The spelling of 3389312160 in words is "three billion, three hundred eighty-nine million, three hundred twelve thousand, one hundred sixty".