3479981760 has 168 divisors, whose sum is σ = 12057186960. Its totient is φ = 921212928.

The previous prime is 3479981707. The next prime is 3479981761. The reversal of 3479981760 is 671899743.

It is a happy number.

3479981760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3479981760² = 24220546099865395200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3479981697 and 3479981706.

It is not an unprimeable number, because it can be changed into a prime (3479981761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395974 + ... + 404666.

It is an arithmetic number, because the mean of its divisors is an integer number (71768970).

Almost surely, 2^3479981760 is an apocalyptic number.

3479981760 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 3479981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6028593480).

3479981760 is an abundant number, since it is smaller than the sum of its proper divisors (8577205200).

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

3479981760 is a wasteful number, since it uses less digits than its factorization.

3479981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8855 (or 8842 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 3479981760 is about 58991.3702163291. The cubic root of 3479981760 is about 1515.3943227403.

The spelling of 3479981760 in words is "three billion, four hundred seventy-nine million, nine hundred eighty-one thousand, seven hundred sixty".