3218679360 has 504 divisors, whose sum is σ = 12725841960. Its totient is φ = 743768064.

The previous prime is 3218679353. The next prime is 3218679361. The reversal of 3218679360 is 639768123.

3218679360 is a `hidden beast` number, since 3 + 218 + 6 + 79 + 360 = 666.

3218679360 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1802511936 + 1416167424 = 42456^2 + 37632^2 .

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 (3218679361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8274046 + ... + 8274434.

Almost surely, 2^3218679360 is an apocalyptic number.

3218679360 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 3218679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6362920980).

3218679360 is an abundant number, since it is smaller than the sum of its proper divisors (9507162600).

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

3218679360 is a wasteful number, since it uses less digits than its factorization.

3218679360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3218679360 is about 56733.4060320725. The cubic root of 3218679360 is about 1476.4743446454.

The spelling of 3218679360 in words is "three billion, two hundred eighteen million, six hundred seventy-nine thousand, three hundred sixty".