3488305996800 has 1056 divisors, whose sum is σ = 13624471728000. Its totient is φ = 871571128320.

The previous prime is 3488305996771. The next prime is 3488305996801. The reversal of 3488305996800 is 86995038843.

3488305996800 is a `hidden beast` number, since 3 + 4 + 8 + 8 + 30 + 599 + 6 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×3488305996800² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3488305996801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3325362676 + ... + 3325363724.

Almost surely, 2^{3488305996800} is an apocalyptic number.

3488305996800 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 3488305996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812235864000).

3488305996800 is an abundant number, since it is smaller than the sum of its proper divisors (10136165731200).

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

3488305996800 is a wasteful number, since it uses less digits than its factorization.

3488305996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 3488305996800 in words is "three trillion, four hundred eighty-eight billion, three hundred five million, nine hundred ninety-six thousand, eight hundred".