3211464240 has 320 divisors, whose sum is σ = 11656396800. Its totient is φ = 811109376.

The previous prime is 3211464233. The next prime is 3211464257. The reversal of 3211464240 is 424641123.

It is a happy number.

3211464240 is a `hidden beast` number, since 3 + 2 + 1 + 14 + 642 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6309106 + ... + 6309614.

It is an arithmetic number, because the mean of its divisors is an integer number (36426240).

Almost surely, 2^3211464240 is an apocalyptic number.

3211464240 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 3211464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828198400).

3211464240 is an abundant number, since it is smaller than the sum of its proper divisors (8444932560).

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

3211464240 is a wasteful number, since it uses less digits than its factorization.

3211464240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3211464240 is about 56669.7824241456. The cubic root of 3211464240 is about 1475.3702780053.

The spelling of 3211464240 in words is "three billion, two hundred eleven million, four hundred sixty-four thousand, two hundred forty".