3213343440 has 320 divisors, whose sum is σ = 11743057920. Its totient is φ = 806215680.

The previous prime is 3213343433. The next prime is 3213343453. The reversal of 3213343440 is 443433123.

3213343440 is a `hidden beast` number, since 3 + 213 + 3 + 4 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2476872 + ... + 2478168.

It is an arithmetic number, because the mean of its divisors is an integer number (36697056).

Almost surely, 2^3213343440 is an apocalyptic number.

3213343440 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 3213343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5871528960).

3213343440 is an abundant number, since it is smaller than the sum of its proper divisors (8529714480).

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

3213343440 is a wasteful number, since it uses less digits than its factorization.

3213343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3213343440 is about 56686.3602641764. The cubic root of 3213343440 is about 1475.6579946576.

Adding to 3213343440 its reverse (443433123), we get a palindrome (3656776563).

The spelling of 3213343440 in words is "three billion, two hundred thirteen million, three hundred forty-three thousand, four hundred forty".