3500218656 has 288 divisors, whose sum is σ = 11377207296. Its totient is φ = 1049760000.

The previous prime is 3500218607. The next prime is 3500218661. The reversal of 3500218656 is 6568120053.

3500218656 is a `hidden beast` number, since 3 + 500 + 21 + 86 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3500218656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12915801 + ... + 12916071.

It is an arithmetic number, because the mean of its divisors is an integer number (39504192).

Almost surely, 2^3500218656 is an apocalyptic number.

3500218656 is a gapful number since it is divisible by the number (36) 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 3500218656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688603648).

3500218656 is an abundant number, since it is smaller than the sum of its proper divisors (7876988640).

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

3500218656 is a wasteful number, since it uses less digits than its factorization.

3500218656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3500218656 is about 59162.6457826220. The cubic root of 3500218656 is about 1518.3261028222.

The spelling of 3500218656 in words is "three billion, five hundred million, two hundred eighteen thousand, six hundred fifty-six".