3489845760 has 240 divisors, whose sum is σ = 12172095936. Its totient is φ = 924033024.

The previous prime is 3489845753. The next prime is 3489845773. The reversal of 3489845760 is 675489843.

3489845760 is a `hidden beast` number, since 3 + 48 + 98 + 457 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 3489845697 and 3489845706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3847227 + ... + 3848133.

Almost surely, 2^3489845760 is an apocalyptic number.

3489845760 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 3489845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6086047968).

3489845760 is an abundant number, since it is smaller than the sum of its proper divisors (8682250176).

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

3489845760 is a wasteful number, since it uses less digits than its factorization.

3489845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3489845760 is about 59074.9165043845. The cubic root of 3489845760 is about 1516.8247659258.

The spelling of 3489845760 in words is "three billion, four hundred eighty-nine million, eight hundred forty-five thousand, seven hundred sixty".