3483078485760 has 432 divisors, whose sum is σ = 12515383302240. Its totient is φ = 928760463360.

The previous prime is 3483078485741. The next prime is 3483078485773. The reversal of 3483078485760 is 675848703843.

3483078485760 is a `hidden beast` number, since 3 + 4 + 83 + 0 + 7 + 8 + 485 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226740480 + ... + 226755840.

Almost surely, 2^{3483078485760} is an apocalyptic number.

3483078485760 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 3483078485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6257691651120).

3483078485760 is an abundant number, since it is smaller than the sum of its proper divisors (9032304816480).

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

3483078485760 is an frugal number, since it uses more digits than its factorization.

3483078485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15415 (or 15371 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 3483078485760 in words is "three trillion, four hundred eighty-three billion, seventy-eight million, four hundred eighty-five thousand, seven hundred sixty".