3439939800 has 768 divisors, whose sum is σ = 13576273920. Its totient is φ = 709632000.

The previous prime is 3439939793. The next prime is 3439939819. The reversal of 3439939800 is 89399343.

It is a Cunningham number, because it is equal to 58651²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 3439939800.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 79998579 + ... + 79998621.

It is an arithmetic number, because the mean of its divisors is an integer number (17677440).

Almost surely, 2^3439939800 is an apocalyptic number.

3439939800 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 3439939800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788136960).

3439939800 is an abundant number, since it is smaller than the sum of its proper divisors (10136334120).

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

3439939800 is a wasteful number, since it uses less digits than its factorization.

3439939800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The square root of 3439939800 is about 58650.9999914750. Note that the first 5 decimals coincide. The cubic root of 3439939800 is about 1509.5596569901.

The spelling of 3439939800 in words is "three billion, four hundred thirty-nine million, nine hundred thirty-nine thousand, eight hundred".