3475978560 has 336 divisors, whose sum is σ = 12703454400. Its totient is φ = 869916672.

The previous prime is 3475978547. The next prime is 3475978589. The reversal of 3475978560 is 658795743.

3475978560 is a `hidden beast` number, since 3 + 4 + 7 + 5 + 9 + 78 + 560 = 666.

3475978560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3475978497 and 3475978506.

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, 7605852 + ... + 7606308.

It is an arithmetic number, because the mean of its divisors is an integer number (37807900).

Almost surely, 2^3475978560 is an apocalyptic number.

3475978560 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 3475978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6351727200).

3475978560 is an abundant number, since it is smaller than the sum of its proper divisors (9227475840).

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

3475978560 is a wasteful number, since it uses less digits than its factorization.

3475978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 3475978560 is about 58957.4300661079. The cubic root of 3475978560 is about 1514.8130213971.

The spelling of 3475978560 in words is "three billion, four hundred seventy-five million, nine hundred seventy-eight thousand, five hundred sixty".