3504580560 has 320 divisors, whose sum is σ = 13109160960. Its totient is φ = 855429120.

The previous prime is 3504580537. The next prime is 3504580561. The reversal of 3504580560 is 650854053.

3504580560 is a `hidden beast` number, since 3 + 50 + 45 + 8 + 0 + 560 = 666.

3504580560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3504580561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3846505 + ... + 3847415.

It is an arithmetic number, because the mean of its divisors is an integer number (40966128).

Almost surely, 2^3504580560 is an apocalyptic number.

3504580560 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 3504580560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554580480).

3504580560 is an abundant number, since it is smaller than the sum of its proper divisors (9604580400).

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

3504580560 is a wasteful number, since it uses less digits than its factorization.

3504580560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 3504580560 is about 59199.4979708443. The cubic root of 3504580560 is about 1518.9565437737.

The spelling of 3504580560 in words is "three billion, five hundred four million, five hundred eighty thousand, five hundred sixty".