3871221120 has 512 divisors, whose sum is σ = 15559488000. Its totient is φ = 901767168.

The previous prime is 3871221097. The next prime is 3871221127. The reversal of 3871221120 is 211221783.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3871221127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4267707 + ... + 4268613.

It is an arithmetic number, because the mean of its divisors is an integer number (30389625).

Almost surely, 2^3871221120 is an apocalyptic number.

3871221120 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 3871221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7779744000).

3871221120 is an abundant number, since it is smaller than the sum of its proper divisors (11688266880).

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

3871221120 is a wasteful number, since it uses less digits than its factorization.

3871221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 3871221120 is about 62219.1378918095. The cubic root of 3871221120 is about 1570.1795837688.

The spelling of 3871221120 in words is "three billion, eight hundred seventy-one million, two hundred twenty-one thousand, one hundred twenty".