3880582423800 has 288 divisors, whose sum is σ = 13005971783280. Its totient is φ = 956444313600.

The previous prime is 3880582423799. The next prime is 3880582423807. The reversal of 3880582423800 is 83242850883.

3880582423800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3880582423807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8662114 + ... + 9099086.

Almost surely, 2^{3880582423800} is an apocalyptic number.

3880582423800 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 3880582423800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6502985891640).

3880582423800 is an abundant number, since it is smaller than the sum of its proper divisors (9125389359480).

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

3880582423800 is a wasteful number, since it uses less digits than its factorization.

3880582423800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437071 (or 437043 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 3880582423800 in words is "three trillion, eight hundred eighty billion, five hundred eighty-two million, four hundred twenty-three thousand, eight hundred".