3218236416 has 132 divisors (see below), whose sum is σ = 9782203600. Its totient is φ = 1016229888.

The previous prime is 3218236403. The next prime is 3218236453. The reversal of 3218236416 is 6146328123.

3218236416 is a `hidden beast` number, since 3 + 2 + 1 + 8 + 2 + 3 + 641 + 6 = 666.

It is a super-3 number, since 3×3218236416³ (a number of 29 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165915 + ... + 184293.

Almost surely, 2^3218236416 is an apocalyptic number.

3218236416 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 3218236416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4891101800).

3218236416 is an abundant number, since it is smaller than the sum of its proper divisors (6563967184).

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

3218236416 is a wasteful number, since it uses less digits than its factorization.

3218236416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18424 (or 18403 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3218236416 is about 56729.5021659806. The cubic root of 3218236416 is about 1476.4066123675.

The spelling of 3218236416 in words is "three billion, two hundred eighteen million, two hundred thirty-six thousand, four hundred sixteen".