3444248304 has 400 divisors, whose sum is σ = 12114589696. Its totient is φ = 923788800.

The previous prime is 3444248287. The next prime is 3444248309. The reversal of 3444248304 is 4038424443.

3444248304 is a `hidden beast` number, since 344 + 4 + 2 + 4 + 8 + 304 = 666.

3444248304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444248309) 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, 10405419 + ... + 10405749.

Almost surely, 2^3444248304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444248304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6057294848).

3444248304 is an abundant number, since it is smaller than the sum of its proper divisors (8670341392).

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

3444248304 is a wasteful number, since it uses less digits than its factorization.

3444248304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 3444248304 is about 58687.7185107753. The cubic root of 3444248304 is about 1510.1896321934.

The spelling of 3444248304 in words is "three billion, four hundred forty-four million, two hundred forty-eight thousand, three hundred four".