3482356160160 has 480 divisors, whose sum is σ = 12355999951680. Its totient is φ = 923643482112.

The previous prime is 3482356160123. The next prime is 3482356160209. The reversal of 3482356160160 is 610616532843.

3482356160160 is a `hidden beast` number, since 3 + 4 + 8 + 2 + 35 + 6 + 1 + 601 + 6 + 0 = 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 (45).

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, 2348182779 + ... + 2348184261.

It is an arithmetic number, because the mean of its divisors is an integer number (25741666566).

Almost surely, 2^{3482356160160} is an apocalyptic number.

3482356160160 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 3482356160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177999975840).

3482356160160 is an abundant number, since it is smaller than the sum of its proper divisors (8873643791520).

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

3482356160160 is a wasteful number, since it uses less digits than its factorization.

3482356160160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3482356160160 in words is "three trillion, four hundred eighty-two billion, three hundred fifty-six million, one hundred sixty thousand, one hundred sixty".