3482170560 has 784 divisors, whose sum is σ = 14391924480. Its totient is φ = 793774080.

The previous prime is 3482170553. The next prime is 3482170577. The reversal of 3482170560 is 650712843.

3482170560 is a `hidden beast` number, since 3 + 4 + 8 + 21 + 70 + 560 = 666.

3482170560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 111 ways as a sum of consecutive naturals, for example, 59019811 + ... + 59019869.

Almost surely, 2^3482170560 is an apocalyptic number.

3482170560 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 3482170560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7195962240).

3482170560 is an abundant number, since it is smaller than the sum of its proper divisors (10909753920).

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

3482170560 is a wasteful number, since it uses less digits than its factorization.

3482170560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3482170560 is about 59009.9191661876. The cubic root of 3482170560 is about 1515.7119680765.

The spelling of 3482170560 in words is "three billion, four hundred eighty-two million, one hundred seventy thousand, five hundred sixty".