348969485760 has 1008 divisors, whose sum is σ = 1392737270400. Its totient is φ = 73607159808.

The previous prime is 348969485759. The next prime is 348969485849. The reversal of 348969485760 is 67584969843.

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, 2510571771 + ... + 2510571909.

It is an arithmetic number, because the mean of its divisors is an integer number (1381683800).

Almost surely, 2^348969485760 is an apocalyptic number.

348969485760 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 348969485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696368635200).

348969485760 is an abundant number, since it is smaller than the sum of its proper divisors (1043767784640).

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

348969485760 is a wasteful number, since it uses less digits than its factorization.

348969485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 69.

The spelling of 348969485760 in words is "three hundred forty-eight billion, nine hundred sixty-nine million, four hundred eighty-five thousand, seven hundred sixty".