3439800000 has 1008 divisors, whose sum is σ = 15834299040. Its totient is φ = 725760000.

The previous prime is 3439799999. The next prime is 3439800017. The reversal of 3439800000 is 89343.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 264599994 + ... + 264600006.

It is an arithmetic number, because the mean of its divisors is an integer number (15708630).

Almost surely, 2^3439800000 is an apocalyptic number.

3439800000 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 3439800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7917149520).

3439800000 is an abundant number, since it is smaller than the sum of its proper divisors (12394499040).

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

3439800000 is an equidigital number, since it uses as much as digits as its factorization.

3439800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3439800000 is about 58649.8081838296. The cubic root of 3439800000 is about 1509.5392070878.

Adding to 3439800000 its reverse (89343), we get a palindrome (3439889343).

The spelling of 3439800000 in words is "three billion, four hundred thirty-nine million, eight hundred thousand".