3488666220 has 768 divisors, whose sum is σ = 13655900160. Its totient is φ = 729907200.

The previous prime is 3488666123. The next prime is 3488666221. The reversal of 3488666220 is 226668843.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3488666221) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 85089400 + ... + 85089440.

It is an arithmetic number, because the mean of its divisors is an integer number (17781120).

Almost surely, 2^3488666220 is an apocalyptic number.

3488666220 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 3488666220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6827950080).

3488666220 is an abundant number, since it is smaller than the sum of its proper divisors (10167233940).

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

3488666220 is a wasteful number, since it uses less digits than its factorization.

3488666220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3488666220 is about 59064.9322356337. The cubic root of 3488666220 is about 1516.6538551159.

The spelling of 3488666220 in words is "three billion, four hundred eighty-eight million, six hundred sixty-six thousand, two hundred twenty".