3506650560 has 504 divisors, whose sum is σ = 14322174048. Its totient is φ = 771379200.

The previous prime is 3506650547. The next prime is 3506650577. The reversal of 3506650560 is 650566053.

It is a happy number.

3506650560 is a `hidden beast` number, since 35 + 0 + 6 + 65 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19373670 + ... + 19373850.

It is an arithmetic number, because the mean of its divisors is an integer number (28417012).

Almost surely, 2^3506650560 is an apocalyptic number.

3506650560 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 3506650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7161087024).

3506650560 is an abundant number, since it is smaller than the sum of its proper divisors (10815523488).

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

3506650560 is a wasteful number, since it uses less digits than its factorization.

3506650560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 3506650560 is about 59216.9786463308. The cubic root of 3506650560 is about 1519.2555449561.

The spelling of 3506650560 in words is "three billion, five hundred six million, six hundred fifty thousand, five hundred sixty".