3438560160 has 480 divisors, whose sum is σ = 14358072960. Its totient is φ = 758274048.

The previous prime is 3438560113. The next prime is 3438560173. The reversal of 3438560160 is 610658343.

3438560160 is a `hidden beast` number, since 3 + 4 + 38 + 560 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2630227 + ... + 2631533.

It is an arithmetic number, because the mean of its divisors is an integer number (29912652).

Almost surely, 2^3438560160 is an apocalyptic number.

3438560160 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 3438560160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7179036480).

3438560160 is an abundant number, since it is smaller than the sum of its proper divisors (10919512800).

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

3438560160 is a wasteful number, since it uses less digits than its factorization.

3438560160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3438560160 is about 58639.2373756685. The cubic root of 3438560160 is about 1509.3578194102.

The spelling of 3438560160 in words is "three billion, four hundred thirty-eight million, five hundred sixty thousand, one hundred sixty".