3218365440 has 352 divisors, whose sum is σ = 11822161920. Its totient is φ = 829440000.

The previous prime is 3218365433. The next prime is 3218365457. The reversal of 3218365440 is 445638123.

3218365440 is a `hidden beast` number, since 32 + 1 + 83 + 6 + 544 + 0 = 666.

It is a super-2 number, since 2×3218365440² = 20715752210772787200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3218365395 and 3218365404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4285065 + ... + 4285815.

Almost surely, 2^3218365440 is an apocalyptic number.

3218365440 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 3218365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5911080960).

3218365440 is an abundant number, since it is smaller than the sum of its proper divisors (8603796480).

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

3218365440 is a wasteful number, since it uses less digits than its factorization.

3218365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3218365440 is about 56730.6393406596. The cubic root of 3218365440 is about 1476.4263425672.

The spelling of 3218365440 in words is "three billion, two hundred eighteen million, three hundred sixty-five thousand, four hundred forty".