3440010000 has 200 divisors, whose sum is σ = 12691987264. Its totient is φ = 786240000.

The previous prime is 3440009999. The next prime is 3440010001. The reversal of 3440010000 is 100443.

It is an interprime number because it is at equal distance from previous prime (3440009999) and next prime (3440010001).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3440010001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 201810 + ... + 218190.

Almost surely, 2^3440010000 is an apocalyptic number.

3440010000 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 3440010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345993632).

3440010000 is an abundant number, since it is smaller than the sum of its proper divisors (9251977264).

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

3440010000 is a wasteful number, since it uses less digits than its factorization.

3440010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16419 (or 16398 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3440010000 is about 58651.5984436912. The cubic root of 3440010000 is about 1509.5699256162.

Adding to 3440010000 its reverse (100443), we get a palindrome (3440110443).

The spelling of 3440010000 in words is "three billion, four hundred forty million, ten thousand".