3483346428870 has 768 divisors, whose sum is σ = 11383261516800. Its totient is φ = 674538762240.

The previous prime is 3483346428839. The next prime is 3483346428893. The reversal of 3483346428870 is 788246433843.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12949243096 + ... + 12949243364.

It is an arithmetic number, because the mean of its divisors is an integer number (14821955100).

Almost surely, 2^{3483346428870} is an apocalyptic number.

3483346428870 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 3483346428870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691630758400).

3483346428870 is an abundant number, since it is smaller than the sum of its proper divisors (7899915087930).

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

3483346428870 is a wasteful number, since it uses less digits than its factorization.

3483346428870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 60.

The spelling of 3483346428870 in words is "three trillion, four hundred eighty-three billion, three hundred forty-six million, four hundred twenty-eight thousand, eight hundred seventy".