3872119680 has 512 divisors, whose sum is σ = 16121548800. Its totient is φ = 865935360.

The previous prime is 3872119661. The next prime is 3872119681. The reversal of 3872119680 is 869112783.

3872119680 is a `hidden beast` number, since 387 + 2 + 1 + 196 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3872119681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2470257 + ... + 2471823.

It is an arithmetic number, because the mean of its divisors is an integer number (31487400).

Almost surely, 2^3872119680 is an apocalyptic number.

3872119680 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 3872119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060774400).

3872119680 is an abundant number, since it is smaller than the sum of its proper divisors (12249429120).

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

3872119680 is a wasteful number, since it uses less digits than its factorization.

3872119680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 3872119680 is about 62226.3584022077. The cubic root of 3872119680 is about 1570.3010606340.

The spelling of 3872119680 in words is "three billion, eight hundred seventy-two million, one hundred nineteen thousand, six hundred eighty".