3841444980 has 384 divisors, whose sum is σ = 13141094400. Its totient is φ = 928972800.

The previous prime is 3841444979. The next prime is 3841445039. The reversal of 3841444980 is 894441483.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19903764 + ... + 19903956.

It is an arithmetic number, because the mean of its divisors is an integer number (34221600).

Almost surely, 2^3841444980 is an apocalyptic number.

3841444980 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 3841444980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6570547200).

3841444980 is an abundant number, since it is smaller than the sum of its proper divisors (9299649420).

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

3841444980 is a wasteful number, since it uses less digits than its factorization.

3841444980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3841444980 is about 61979.3915749421. The cubic root of 3841444980 is about 1566.1434521632.

The spelling of 3841444980 in words is "three billion, eight hundred forty-one million, four hundred forty-four thousand, nine hundred eighty".