3979834560 has 672 divisors, whose sum is σ = 15905390592. Its totient is φ = 940584960.

The previous prime is 3979834559. The next prime is 3979834567. The reversal of 3979834560 is 654389793.

3979834560 is a `hidden beast` number, since 3 + 9 + 79 + 8 + 3 + 4 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3979834497 and 3979834506.

It is not an unprimeable number, because it can be changed into a prime (3979834567) 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 95 ways as a sum of consecutive naturals, for example, 31337217 + ... + 31337343.

It is an arithmetic number, because the mean of its divisors is an integer number (23668736).

Almost surely, 2^3979834560 is an apocalyptic number.

3979834560 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 3979834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7952695296).

3979834560 is an abundant number, since it is smaller than the sum of its proper divisors (11925556032).

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

3979834560 is a wasteful number, since it uses less digits than its factorization.

3979834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 3979834560 is about 63085.9299685754. The cubic root of 3979834560 is about 1584.7290032828.

The spelling of 3979834560 in words is "three billion, nine hundred seventy-nine million, eight hundred thirty-four thousand, five hundred sixty".