3498384700800 has 1152 divisors, whose sum is σ = 14167610402400. Its totient is φ = 814193049600.

The previous prime is 3498384700793. The next prime is 3498384700813. The reversal of 3498384700800 is 80074838943.

3498384700800 is a `hidden beast` number, since 3 + 4 + 98 + 3 + 8 + 470 + 0 + 80 + 0 = 666.

3498384700800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 1773128614 + ... + 1773130586.

Almost surely, 2^{3498384700800} is an apocalyptic number.

3498384700800 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 3498384700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7083805201200).

3498384700800 is an abundant number, since it is smaller than the sum of its proper divisors (10669225701600).

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

3498384700800 is a wasteful number, since it uses less digits than its factorization.

3498384700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3498384700800 in words is "three trillion, four hundred ninety-eight billion, three hundred eighty-four million, seven hundred thousand, eight hundred".