3488606880 has 288 divisors, whose sum is σ = 12542040000. Its totient is φ = 808304640.

The previous prime is 3488606861. The next prime is 3488606911. The reversal of 3488606880 is 886068843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2792496 + ... + 2793744.

It is an arithmetic number, because the mean of its divisors is an integer number (43548750).

Almost surely, 2^3488606880 is an apocalyptic number.

3488606880 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 3488606880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6271020000).

3488606880 is an abundant number, since it is smaller than the sum of its proper divisors (9053433120).

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

3488606880 is a wasteful number, since it uses less digits than its factorization.

3488606880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The square root of 3488606880 is about 59064.4299049775. The cubic root of 3488606880 is about 1516.6452559604.

The spelling of 3488606880 in words is "three billion, four hundred eighty-eight million, six hundred six thousand, eight hundred eighty".