3483761278350 has 192 divisors, whose sum is σ = 8866232524800. Its totient is φ = 905018019840.

The previous prime is 3483761278343. The next prime is 3483761278351. The reversal of 3483761278350 is 538721673843.

3483761278350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3483761278351) 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, 424379046 + ... + 424387254.

It is an arithmetic number, because the mean of its divisors is an integer number (46178294400).

Almost surely, 2^{3483761278350} is an apocalyptic number.

3483761278350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3483761278350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433116262400).

3483761278350 is an abundant number, since it is smaller than the sum of its proper divisors (5382471246450).

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

3483761278350 is a wasteful number, since it uses less digits than its factorization.

3483761278350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8779 (or 8774 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 3483761278350 in words is "three trillion, four hundred eighty-three billion, seven hundred sixty-one million, two hundred seventy-eight thousand, three hundred fifty".