3440400000 has 384 divisors, whose sum is σ = 11856741120. Its totient is φ = 883200000.

The previous prime is 3440399999. The next prime is 3440400001. The reversal of 3440400000 is 40443.

It is an interprime number because it is at equal distance from previous prime (3440399999) and next prime (3440400001).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3440400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56399970 + ... + 56400030.

It is an arithmetic number, because the mean of its divisors is an integer number (30876930).

Almost surely, 2^3440400000 is an apocalyptic number.

3440400000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3440400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928370560).

3440400000 is an abundant number, since it is smaller than the sum of its proper divisors (8416341120).

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

3440400000 is an frugal number, since it uses more digits than its factorization.

3440400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3440400000 is about 58654.9230670368. The cubic root of 3440400000 is about 1509.6269709954.

Adding to 3440400000 its reverse (40443), we get a palindrome (3440440443).

The spelling of 3440400000 in words is "three billion, four hundred forty million, four hundred thousand".