3882254397120 has 1344 divisors, whose sum is σ = 15806362291200. Its totient is φ = 864691322880.

The previous prime is 3882254396983. The next prime is 3882254397137. The reversal of 3882254397120 is 217934522883.

3882254397120 is a `hidden beast` number, since 3 + 8 + 8 + 2 + 2 + 543 + 9 + 71 + 20 = 666.

3882254397120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5684120299 + ... + 5684120981.

Almost surely, 2^{3882254397120} is an apocalyptic number.

3882254397120 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 3882254397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7903181145600).

3882254397120 is an abundant number, since it is smaller than the sum of its proper divisors (11924107894080).

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

3882254397120 is a wasteful number, since it uses less digits than its factorization.

3882254397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3882254397120 in words is "three trillion, eight hundred eighty-two billion, two hundred fifty-four million, three hundred ninety-seven thousand, one hundred twenty".