3444819840 has 640 divisors, whose sum is σ = 15355422720. Its totient is φ = 714977280.

The previous prime is 3444819821. The next prime is 3444819841. The reversal of 3444819840 is 489184443.

3444819840 is a `hidden beast` number, since 3 + 44 + 481 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444819841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3991249 + ... + 3992111.

It is an arithmetic number, because the mean of its divisors is an integer number (23992848).

Almost surely, 2^3444819840 is an apocalyptic number.

3444819840 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 3444819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7677711360).

3444819840 is an abundant number, since it is smaller than the sum of its proper divisors (11910602880).

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

3444819840 is a wasteful number, since it uses less digits than its factorization.

3444819840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3444819840 is about 58692.5876069543. The cubic root of 3444819840 is about 1510.2731608212.

The spelling of 3444819840 in words is "three billion, four hundred forty-four million, eight hundred nineteen thousand, eight hundred forty".