3398935800 has 192 divisors, whose sum is σ = 12015168480. Its totient is φ = 787415040.

The previous prime is 3398935789. The next prime is 3398935823. The reversal of 3398935800 is 85398933.

It is a super-4 number, since 4×3398935800⁴ (a number of 39 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3398935800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119784 + ... + 145416.

Almost surely, 2^3398935800 is an apocalyptic number.

3398935800 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 3398935800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007584240).

3398935800 is an abundant number, since it is smaller than the sum of its proper divisors (8616232680).

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

3398935800 is a wasteful number, since it uses less digits than its factorization.

3398935800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25682 (or 25673 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 3398935800 is about 58300.3927945601. The cubic root of 3398935800 is about 1503.5376943642.

The spelling of 3398935800 in words is "three billion, three hundred ninety-eight million, nine hundred thirty-five thousand, eight hundred".