3540418560 has 480 divisors, whose sum is σ = 14317955730. Its totient is φ = 809238528.

The previous prime is 3540418559. The next prime is 3540418577. The reversal of 3540418560 is 658140453.

It is a happy number.

3540418560 is a `hidden beast` number, since 3 + 54 + 0 + 41 + 8 + 560 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3186376704 + 354041856 = 56448^2 + 18816^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 505774077 + ... + 505774083.

Almost surely, 2^3540418560 is an apocalyptic number.

3540418560 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 3540418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7158977865).

3540418560 is an abundant number, since it is smaller than the sum of its proper divisors (10777537170).

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

3540418560 is an frugal number, since it uses more digits than its factorization.

3540418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3540418560 is about 59501.4164537282. The cubic root of 3540418560 is about 1524.1166339736.

The spelling of 3540418560 in words is "three billion, five hundred forty million, four hundred eighteen thousand, five hundred sixty".