3444492800 has 240 divisors, whose sum is σ = 10026382080. Its totient is φ = 1147944960.

The previous prime is 3444492787. The next prime is 3444492803. The reversal of 3444492800 is 82944443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444492803) by changing a digit.

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, 3314681 + ... + 3315719.

It is an arithmetic number, because the mean of its divisors is an integer number (41776592).

Almost surely, 2^3444492800 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 3444492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013191040).

3444492800 is an abundant number, since it is smaller than the sum of its proper divisors (6581889280).

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

3444492800 is a wasteful number, since it uses less digits than its factorization.

3444492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 3444492800 is about 58689.8014990680. The cubic root of 3444492800 is about 1510.2253658335.

The spelling of 3444492800 in words is "three billion, four hundred forty-four million, four hundred ninety-two thousand, eight hundred".