3398803200 has 864 divisors, whose sum is σ = 14370955200. Its totient is φ = 778567680.

The previous prime is 3398803193. The next prime is 3398803207. The reversal of 3398803200 is 23088933.

It is an interprime number because it is at equal distance from previous prime (3398803193) and next prime (3398803207).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3398803207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38188756 + ... + 38188844.

It is an arithmetic number, because the mean of its divisors is an integer number (16633050).

Almost surely, 2^3398803200 is an apocalyptic number.

3398803200 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 3398803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185477600).

3398803200 is an abundant number, since it is smaller than the sum of its proper divisors (10972152000).

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

3398803200 is a wasteful number, since it uses less digits than its factorization.

3398803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3398803200 is about 58299.2555698613. The cubic root of 3398803200 is about 1503.5181420001.

The spelling of 3398803200 in words is "three billion, three hundred ninety-eight million, eight hundred three thousand, two hundred".