3398039424 has 320 divisors, whose sum is σ = 11538782640. Its totient is φ = 983384064.

The previous prime is 3398039419. The next prime is 3398039429. The reversal of 3398039424 is 4249308933.

It is an interprime number because it is at equal distance from previous prime (3398039419) and next prime (3398039429).

It is a self number, because there is not a number n which added to its sum of digits gives 3398039424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3398039429) 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, 2290587 + ... + 2292069.

Almost surely, 2^3398039424 is an apocalyptic number.

3398039424 is a gapful number since it is divisible by the number (34) 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 3398039424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5769391320).

3398039424 is an abundant number, since it is smaller than the sum of its proper divisors (8140743216).

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

3398039424 is a wasteful number, since it uses less digits than its factorization.

3398039424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3398039424 is about 58292.7047236616. The cubic root of 3398039424 is about 1503.4055104811.

The spelling of 3398039424 in words is "three billion, three hundred ninety-eight million, thirty-nine thousand, four hundred twenty-four".