3483371673600 has 576 divisors, whose sum is σ = 14173025368320. Its totient is φ = 734950195200.

The previous prime is 3483371673559. The next prime is 3483371673623. The reversal of 3483371673600 is 63761733843.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13852995 + ... + 14102205.

It is an arithmetic number, because the mean of its divisors is an integer number (24605946820).

Almost surely, 2^{3483371673600} is an apocalyptic number.

3483371673600 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 3483371673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7086512684160).

3483371673600 is an abundant number, since it is smaller than the sum of its proper divisors (10689653694720).

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

3483371673600 is a wasteful number, since it uses less digits than its factorization.

3483371673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249266 (or 249241 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 51.

The spelling of 3483371673600 in words is "three trillion, four hundred eighty-three billion, three hundred seventy-one million, six hundred seventy-three thousand, six hundred".