3488081875200 has 1512 divisors, whose sum is σ = 14078532874560. Its totient is φ = 850109644800.

The previous prime is 3488081875199. The next prime is 3488081875219. The reversal of 3488081875200 is 25781808843.

3488081875200 is a `hidden beast` number, since 3 + 488 + 0 + 81 + 87 + 5 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 7945516581 + ... + 7945517019.

Almost surely, 2^{3488081875200} is an apocalyptic number.

3488081875200 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 3488081875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7039266437280).

3488081875200 is an abundant number, since it is smaller than the sum of its proper divisors (10590450999360).

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

3488081875200 is a wasteful number, since it uses less digits than its factorization.

3488081875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 3488081875200 in words is "three trillion, four hundred eighty-eight billion, eighty-one million, eight hundred seventy-five thousand, two hundred".