3443536992 has 96 divisors (see below), whose sum is σ = 10344160512. Its totient is φ = 982577664.

The previous prime is 3443536981. The next prime is 3443537011. The reversal of 3443536992 is 2996353443.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586423 + ... + 592265.

It is an arithmetic number, because the mean of its divisors is an integer number (107751672).

Almost surely, 2^3443536992 is an apocalyptic number.

3443536992 is a gapful number since it is divisible by the number (32) 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 3443536992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5172080256).

3443536992 is an abundant number, since it is smaller than the sum of its proper divisors (6900623520).

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

3443536992 is a wasteful number, since it uses less digits than its factorization.

3443536992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6740 (or 6732 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 48.

The square root of 3443536992 is about 58681.6580542847. The cubic root of 3443536992 is about 1510.0856627279.

The spelling of 3443536992 in words is "three billion, four hundred forty-three million, five hundred thirty-six thousand, nine hundred ninety-two".