3879751680 has 624 divisors, whose sum is σ = 16028673024. Its totient is φ = 849346560.

The previous prime is 3879751639. The next prime is 3879751693. The reversal of 3879751680 is 861579783.

3879751680 is a `hidden beast` number, since 38 + 7 + 97 + 516 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39997392 + ... + 39997488.

It is an arithmetic number, because the mean of its divisors is an integer number (25686976).

Almost surely, 2^3879751680 is an apocalyptic number.

3879751680 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 3879751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8014336512).

3879751680 is an abundant number, since it is smaller than the sum of its proper divisors (12148921344).

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

3879751680 is a wasteful number, since it uses less digits than its factorization.

3879751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 3879751680 is about 62287.6527090241. The cubic root of 3879751680 is about 1571.3320783883.

The spelling of 3879751680 in words is "three billion, eight hundred seventy-nine million, seven hundred fifty-one thousand, six hundred eighty".