3444394752 has 216 divisors, whose sum is σ = 10908018576. Its totient is φ = 1080262656.

The previous prime is 3444394741. The next prime is 3444394763. The reversal of 3444394752 is 2574934443.

It is an interprime number because it is at equal distance from previous prime (3444394741) and next prime (3444394763).

It is a tau number, because it is divible by the number of its divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 3444394698 and 3444394707.

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 23 ways as a sum of consecutive naturals, for example, 1055908 + ... + 1059164.

It is an arithmetic number, because the mean of its divisors is an integer number (50500086).

Almost surely, 2^3444394752 is an apocalyptic number.

3444394752 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 3444394752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5454009288).

3444394752 is an abundant number, since it is smaller than the sum of its proper divisors (7463623824).

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

3444394752 is an equidigital number, since it uses as much as digits as its factorization.

3444394752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3279 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 3444394752 is about 58688.9661861580. The cubic root of 3444394752 is about 1510.2110361010.

The spelling of 3444394752 in words is "three billion, four hundred forty-four million, three hundred ninety-four thousand, seven hundred fifty-two".