3438160128 has 288 divisors, whose sum is σ = 11105297280. Its totient is φ = 1042882560.

The previous prime is 3438160123. The next prime is 3438160133. The reversal of 3438160128 is 8210618343.

3438160128 is a `hidden beast` number, since 3 + 43 + 8 + 1 + 601 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3438160123) and next prime (3438160133).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 3438160092 and 3438160101.

It is not an unprimeable number, because it can be changed into a prime (3438160123) by changing a digit.

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, 7457818 + ... + 7458278.

It is an arithmetic number, because the mean of its divisors is an integer number (38560060).

Almost surely, 2^3438160128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3438160128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552648640).

3438160128 is an abundant number, since it is smaller than the sum of its proper divisors (7667137152).

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

3438160128 is a wasteful number, since it uses less digits than its factorization.

3438160128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3438160128 is about 58635.8263180455. The cubic root of 3438160128 is about 1509.2992857202.

The spelling of 3438160128 in words is "three billion, four hundred thirty-eight million, one hundred sixty thousand, one hundred twenty-eight".