3440101120 has 144 divisors (see below), whose sum is σ = 8437141440. Its totient is φ = 1343619072.

The previous prime is 3440101111. The next prime is 3440101121. The reversal of 3440101120 is 211010443.

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

It is a junction number, because it is equal to n+sod(n) for n = 3440101094 and 3440101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3440101121) 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 15 ways as a sum of consecutive naturals, for example, 12788346 + ... + 12788614.

It is an arithmetic number, because the mean of its divisors is an integer number (58591260).

Almost surely, 2^3440101120 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 3440101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218570720).

3440101120 is an abundant number, since it is smaller than the sum of its proper divisors (4997040320).

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

3440101120 is a wasteful number, since it uses less digits than its factorization.

3440101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3440101120 is about 58652.3752289709. The cubic root of 3440101120 is about 1509.5832541431.

Adding to 3440101120 its reverse (211010443), we get a palindrome (3651111563).

The spelling of 3440101120 in words is "three billion, four hundred forty million, one hundred one thousand, one hundred twenty".