3882251259900 has 720 divisors, whose sum is σ = 14071210322400. Its totient is φ = 919317288960.

The previous prime is 3882251259857. The next prime is 3882251259917. The reversal of 3882251259900 is 99521522883.

It is a happy number.

3882251259900 is a `hidden beast` number, since 3 + 88 + 225 + 1 + 259 + 90 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 894731931 + ... + 894736269.

It is an arithmetic number, because the mean of its divisors is an integer number (19543347670).

Almost surely, 2^{3882251259900} is an apocalyptic number.

3882251259900 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 3882251259900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7035605161200).

3882251259900 is an abundant number, since it is smaller than the sum of its proper divisors (10188959062500).

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

3882251259900 is a wasteful number, since it uses less digits than its factorization.

3882251259900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4700 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 3882251259900 in words is "three trillion, eight hundred eighty-two billion, two hundred fifty-one million, two hundred fifty-nine thousand, nine hundred".