3504697560 has 1152 divisors, whose sum is σ = 16133644800. Its totient is φ = 650280960.

The previous prime is 3504697501. The next prime is 3504697561. The reversal of 3504697560 is 657964053.

3504697560 is a `hidden beast` number, since 3 + 504 + 6 + 97 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3504697561) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 113054745 + ... + 113054775.

It is an arithmetic number, because the mean of its divisors is an integer number (14004900).

Almost surely, 2^3504697560 is an apocalyptic number.

3504697560 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 3504697560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8066822400).

3504697560 is an abundant number, since it is smaller than the sum of its proper divisors (12628947240).

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

3504697560 is a wasteful number, since it uses less digits than its factorization.

3504697560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 3504697560 is about 59200.4861466525. The cubic root of 3504697560 is about 1518.9734469793.

The spelling of 3504697560 in words is "three billion, five hundred four million, six hundred ninety-seven thousand, five hundred sixty".