3389348160 has 336 divisors, whose sum is σ = 12880969920. Its totient is φ = 811130880.

The previous prime is 3389348153. The next prime is 3389348167. The reversal of 3389348160 is 618439833.

3389348160 is a `hidden beast` number, since 33 + 89 + 3 + 481 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3389348153) and next prime (3389348167).

It is a super-2 number, since 2×3389348160² = 22975361899390771200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3389348167) 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 47 ways as a sum of consecutive naturals, for example, 2628796 + ... + 2630084.

It is an arithmetic number, because the mean of its divisors is an integer number (38336220).

Almost surely, 2^3389348160 is an apocalyptic number.

3389348160 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 3389348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6440484960).

3389348160 is an abundant number, since it is smaller than the sum of its proper divisors (9491621760).

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

3389348160 is a wasteful number, since it uses less digits than its factorization.

3389348160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3389348160 is about 58218.1085230360. The cubic root of 3389348160 is about 1502.1226481597.

The spelling of 3389348160 in words is "three billion, three hundred eighty-nine million, three hundred forty-eight thousand, one hundred sixty".