3218753340 has 144 divisors (see below), whose sum is σ = 10673601120. Its totient is φ = 778659840.

The previous prime is 3218753333. The next prime is 3218753383. The reversal of 3218753340 is 433578123.

3218753340 is a `hidden beast` number, since 3 + 2 + 1 + 87 + 533 + 40 = 666.

It is a super-2 number, since 2×3218753340² = 20720746127522311200, 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 = 3218753295 and 3218753304.

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, 1125192 + ... + 1128048.

It is an arithmetic number, because the mean of its divisors is an integer number (74122230).

Almost surely, 2^3218753340 is an apocalyptic number.

3218753340 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 3218753340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5336800560).

3218753340 is an abundant number, since it is smaller than the sum of its proper divisors (7454847780).

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

3218753340 is a wasteful number, since it uses less digits than its factorization.

3218753340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3218753340 is about 56734.0580251404. The cubic root of 3218753340 is about 1476.4856566073.

The spelling of 3218753340 in words is "three billion, two hundred eighteen million, seven hundred fifty-three thousand, three hundred forty".