3488600217960 has 1536 divisors, whose sum is σ = 14358254400000. Its totient is φ = 751947356160.

The previous prime is 3488600217943. The next prime is 3488600218001. The reversal of 3488600217960 is 697120068843.

3488600217960 is a `hidden beast` number, since 3 + 4 + 8 + 8 + 600 + 21 + 7 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3488600217897 and 3488600217906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8326014631 + ... + 8326015049.

It is an arithmetic number, because the mean of its divisors is an integer number (9347821875).

Almost surely, 2^{3488600217960} is an apocalyptic number.

3488600217960 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 3488600217960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7179127200000).

3488600217960 is an abundant number, since it is smaller than the sum of its proper divisors (10869654182040).

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

3488600217960 is a wasteful number, since it uses less digits than its factorization.

3488600217960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 3488600217960 in words is "three trillion, four hundred eighty-eight billion, six hundred million, two hundred seventeen thousand, nine hundred sixty".