348683784960 has 1152 divisors, whose sum is σ = 1420555014144. Its totient is φ = 71061995520.

The previous prime is 348683784941. The next prime is 348683784971. The reversal of 348683784960 is 69487386843.

It is a junction number, because it is equal to n+sod(n) for n = 348683784891 and 348683784900.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 693208069 + ... + 693208571.

It is an arithmetic number, because the mean of its divisors is an integer number (1233120672).

Almost surely, 2^348683784960 is an apocalyptic number.

348683784960 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 348683784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710277507072).

348683784960 is an abundant number, since it is smaller than the sum of its proper divisors (1071871229184).

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

348683784960 is a wasteful number, since it uses less digits than its factorization.

348683784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 66.

The spelling of 348683784960 in words is "three hundred forty-eight billion, six hundred eighty-three million, seven hundred eighty-four thousand, nine hundred sixty".