3399439680 has 1008 divisors, whose sum is σ = 15651876240. Its totient is φ = 668860416.

The previous prime is 3399439649. The next prime is 3399439717. The reversal of 3399439680 is 869349933.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1016064 + 3398423616 = 1008^2 + 58296^2 .

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

It is a congruent number.

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, 31187466 + ... + 31187574.

It is an arithmetic number, because the mean of its divisors is an integer number (15527655).

Almost surely, 2^3399439680 is an apocalyptic number.

3399439680 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 3399439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7825938120).

3399439680 is an abundant number, since it is smaller than the sum of its proper divisors (12252436560).

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

3399439680 is a wasteful number, since it uses less digits than its factorization.

3399439680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The square root of 3399439680 is about 58304.7140461215. The cubic root of 3399439680 is about 1503.6119887104.

The spelling of 3399439680 in words is "three billion, three hundred ninety-nine million, four hundred thirty-nine thousand, six hundred eighty".