3443711040 has 672 divisors, whose sum is σ = 15097694976. Its totient is φ = 699678720.

The previous prime is 3443711039. The next prime is 3443711057. The reversal of 3443711040 is 401173443.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 3443710995 and 3443711013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11753134 + ... + 11753426.

It is an arithmetic number, because the mean of its divisors is an integer number (22466808).

Almost surely, 2^3443711040 is an apocalyptic number.

3443711040 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 3443711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548847488).

3443711040 is an abundant number, since it is smaller than the sum of its proper divisors (11653983936).

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

3443711040 is a wasteful number, since it uses less digits than its factorization.

3443711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3443711040 is about 58683.1410202283. The cubic root of 3443711040 is about 1510.1111039106. Note that the first 4 decimals are identical.

Adding to 3443711040 its reverse (401173443), we get a palindrome (3844884483).

The spelling of 3443711040 in words is "three billion, four hundred forty-three million, seven hundred eleven thousand, forty".