3931789680 has 640 divisors, whose sum is σ = 16938915840. Its totient is φ = 816168960.

The previous prime is 3931789661. The next prime is 3931789777. The reversal of 3931789680 is 869871393.

3931789680 is a `hidden beast` number, since 393 + 178 + 9 + 6 + 80 = 666.

3931789680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16314360 + ... + 16314600.

It is an arithmetic number, because the mean of its divisors is an integer number (26467056).

Almost surely, 2^3931789680 is an apocalyptic number.

3931789680 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 3931789680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8469457920).

3931789680 is an abundant number, since it is smaller than the sum of its proper divisors (13007126160).

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

3931789680 is a wasteful number, since it uses less digits than its factorization.

3931789680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 3931789680 is about 62703.9845623865. The cubic root of 3931789680 is about 1578.3261769895.

The spelling of 3931789680 in words is "three billion, nine hundred thirty-one million, seven hundred eighty-nine thousand, six hundred eighty".