3481986960 has 320 divisors, whose sum is σ = 12499200000. Its totient is φ = 889989120.

The previous prime is 3481986953. The next prime is 3481986983. The reversal of 3481986960 is 696891843.

It is a super-2 number, since 2×3481986960² = 24248466379220083200, which contains 22 as substring.

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 = 3481986897 and 3481986906.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9976866 + ... + 9977214.

It is an arithmetic number, because the mean of its divisors is an integer number (39060000).

Almost surely, 2^3481986960 is an apocalyptic number.

3481986960 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 3481986960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600000).

3481986960 is an abundant number, since it is smaller than the sum of its proper divisors (9017213040).

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

3481986960 is a wasteful number, since it uses less digits than its factorization.

3481986960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 3481986960 is about 59008.3634750194. The cubic root of 3481986960 is about 1515.6853285994.

The spelling of 3481986960 in words is "three billion, four hundred eighty-one million, nine hundred eighty-six thousand, nine hundred sixty".