3880288307808 has 288 divisors, whose sum is σ = 12576261035520. Its totient is φ = 1123363000320.

The previous prime is 3880288307807. The next prime is 3880288307827. The reversal of 3880288307808 is 8087038820883.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3880288307808² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3880288307807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61101160 + ... + 61164632.

It is an arithmetic number, because the mean of its divisors is an integer number (43667573040).

Almost surely, 2^{3880288307808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3880288307808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6288130517760).

3880288307808 is an abundant number, since it is smaller than the sum of its proper divisors (8695972727712).

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

3880288307808 is a wasteful number, since it uses less digits than its factorization.

3880288307808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64362 (or 64351 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 3880288307808 in words is "three trillion, eight hundred eighty billion, two hundred eighty-eight million, three hundred seven thousand, eight hundred eight".