3506580720 has 300 divisors, whose sum is σ = 12862179000. Its totient is φ = 885282048.

The previous prime is 3506580697. The next prime is 3506580827. The reversal of 3506580720 is 270856053.

3506580720 is a `hidden beast` number, since 3 + 5 + 0 + 6 + 580 + 72 + 0 = 666.

It is a super-2 number, since 2×3506580720² = 24592216691751436800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2338531 + ... + 2340029.

It is an arithmetic number, because the mean of its divisors is an integer number (42873930).

Almost surely, 2^3506580720 is an apocalyptic number.

3506580720 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 3506580720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6431089500).

3506580720 is an abundant number, since it is smaller than the sum of its proper divisors (9355598280).

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

3506580720 is a wasteful number, since it uses less digits than its factorization.

3506580720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 3506580720 is about 59216.3889476554. The cubic root of 3506580720 is about 1519.2454588345.

The spelling of 3506580720 in words is "three billion, five hundred six million, five hundred eighty thousand, seven hundred twenty".