3981273120 has 672 divisors, whose sum is σ = 16063427520. Its totient is φ = 923166720.

The previous prime is 3981273103. The next prime is 3981273137. The reversal of 3981273120 is 213721893.

It is an interprime number because it is at equal distance from previous prime (3981273103) and next prime (3981273137).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 37208107 + ... + 37208213.

It is an arithmetic number, because the mean of its divisors is an integer number (23903910).

Almost surely, 2^3981273120 is an apocalyptic number.

3981273120 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 3981273120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8031713760).

3981273120 is an abundant number, since it is smaller than the sum of its proper divisors (12082154400).

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

3981273120 is a wasteful number, since it uses less digits than its factorization.

3981273120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3981273120 is about 63097.3305299044. The cubic root of 3981273120 is about 1584.9199201913.

The spelling of 3981273120 in words is "three billion, nine hundred eighty-one million, two hundred seventy-three thousand, one hundred twenty".