3979388160 has 432 divisors, whose sum is σ = 15519748608. Its totient is φ = 932659200.

The previous prime is 3979388159. The next prime is 3979388197. The reversal of 3979388160 is 618839793.

3979388160 is a `hidden beast` number, since 39 + 79 + 388 + 160 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3979388097 and 3979388106.

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, 3927814 + ... + 3928826.

It is an arithmetic number, because the mean of its divisors is an integer number (35925344).

Almost surely, 2^3979388160 is an apocalyptic number.

3979388160 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 3979388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7759874304).

3979388160 is an abundant number, since it is smaller than the sum of its proper divisors (11540360448).

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

3979388160 is a wasteful number, since it uses less digits than its factorization.

3979388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1065 counting only the distinct ones).

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

The square root of 3979388160 is about 63082.3918379765. The cubic root of 3979388160 is about 1584.6697504447.

The spelling of 3979388160 in words is "three billion, nine hundred seventy-nine million, three hundred eighty-eight thousand, one hundred sixty".