3484976560 has 160 divisors (see below), whose sum is σ = 9213160320. Its totient is φ = 1216241664.

The previous prime is 3484976531. The next prime is 3484976563. The reversal of 3484976560 is 656794843.

3484976560 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 (52).

It is a junction number, because it is equal to n+sod(n) for n = 3484976498 and 3484976507.

It is not an unprimeable number, because it can be changed into a prime (3484976563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128062 + ... + 2129698.

It is an arithmetic number, because the mean of its divisors is an integer number (57582252).

Almost surely, 2^3484976560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3484976560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606580160).

3484976560 is an abundant number, since it is smaller than the sum of its proper divisors (5728183760).

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

3484976560 is a wasteful number, since it uses less digits than its factorization.

3484976560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The square root of 3484976560 is about 59033.6900422123. The cubic root of 3484976560 is about 1516.1189887182.

The spelling of 3484976560 in words is "three billion, four hundred eighty-four million, nine hundred seventy-six thousand, five hundred sixty".