3882157434300 has 144 divisors (see below), whose sum is σ = 11537187322752. Its totient is φ = 1007154720000.

The previous prime is 3882157434299. The next prime is 3882157434301. The reversal of 3882157434300 is 34347512883.

It is an interprime number because it is at equal distance from previous prime (3882157434299) and next prime (3882157434301).

It is a super-2 number, since 2×3882157434300² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3882157434300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3882157434301) 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, 202576519 + ... + 202595681.

It is an arithmetic number, because the mean of its divisors is an integer number (80119356408).

Almost surely, 2^{3882157434300} is an apocalyptic number.

3882157434300 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 3882157434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5768593661376).

3882157434300 is an abundant number, since it is smaller than the sum of its proper divisors (7655029888452).

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

3882157434300 is a wasteful number, since it uses less digits than its factorization.

3882157434300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37468 (or 37461 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 3882157434300 in words is "three trillion, eight hundred eighty-two billion, one hundred fifty-seven million, four hundred thirty-four thousand, three hundred".