3500719560 has 320 divisors, whose sum is σ = 13419529200. Its totient is φ = 810860544.

The previous prime is 3500719559. The next prime is 3500719561. The reversal of 3500719560 is 659170053.

It is a happy number.

3500719560 is a `hidden beast` number, since 3 + 500 + 7 + 1 + 95 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3500719559) and next prime (3500719561).

It can be written as a sum of positive squares in 8 ways, for example, as 1694639556 + 1806080004 = 41166^2 + 42498^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3500719561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 713596 + ... + 718484.

Almost surely, 2^3500719560 is an apocalyptic number.

3500719560 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 3500719560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709764600).

3500719560 is an abundant number, since it is smaller than the sum of its proper divisors (9918809640).

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

3500719560 is a wasteful number, since it uses less digits than its factorization.

3500719560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 3500719560 is about 59166.8789104174. The cubic root of 3500719560 is about 1518.3985268064.

The spelling of 3500719560 in words is "three billion, five hundred million, seven hundred nineteen thousand, five hundred sixty".