3440054000 has 80 divisors (see below), whose sum is σ = 8459324640. Its totient is φ = 1352652800.

The previous prime is 3440053999. The next prime is 3440054011. The reversal of 3440054000 is 4500443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103424 + ... + 132576.

It is an arithmetic number, because the mean of its divisors is an integer number (105741558).

Almost surely, 2^3440054000 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 3440054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229662320).

3440054000 is an abundant number, since it is smaller than the sum of its proper divisors (5019270640).

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

3440054000 is a wasteful number, since it uses less digits than its factorization.

3440054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29235 (or 29219 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 3440054000 is about 58651.9735388333. The cubic root of 3440054000 is about 1509.5763617209.

Adding to 3440054000 its reverse (4500443), we get a palindrome (3444554443).

The spelling of 3440054000 in words is "three billion, four hundred forty million, fifty-four thousand".