3444351400 has 96 divisors (see below), whose sum is σ = 9238069440. Its totient is φ = 1169832960.

The previous prime is 3444351377. The next prime is 3444351401. The reversal of 3444351400 is 41534443.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3444351401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138304 + ... + 161296.

It is an arithmetic number, because the mean of its divisors is an integer number (96229890).

Almost surely, 2^3444351400 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 3444351400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619034720).

3444351400 is an abundant number, since it is smaller than the sum of its proper divisors (5793718040).

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

3444351400 is a wasteful number, since it uses less digits than its factorization.

3444351400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23123 (or 23114 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 3444351400 is about 58688.5968481101. The cubic root of 3444351400 is about 1510.2047001118.

Adding to 3444351400 its reverse (41534443), we get a palindrome (3485885843).

The spelling of 3444351400 in words is "three billion, four hundred forty-four million, three hundred fifty-one thousand, four hundred".