3444100000 has 288 divisors, whose sum is σ = 9638383104. Its totient is φ = 1200000000.

The previous prime is 3444099991. The next prime is 3444100013. The reversal of 3444100000 is 14443.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34099950 + ... + 34100050.

It is an arithmetic number, because the mean of its divisors is an integer number (33466608).

Almost surely, 2^3444100000 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 3444100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819191552).

3444100000 is an abundant number, since it is smaller than the sum of its proper divisors (6194283104).

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

3444100000 is a wasteful number, since it uses less digits than its factorization.

3444100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3444100000 is about 58686.4549960210. The cubic root of 3444100000 is about 1510.1679564064.

Adding to 3444100000 its reverse (14443), we get a palindrome (3444114443).

The spelling of 3444100000 in words is "three billion, four hundred forty-four million, one hundred thousand".