347388000960 has 1344 divisors, whose sum is σ = 1543676327424. Its totient is φ = 65028096000.

The previous prime is 347388000941. The next prime is 347388000977. The reversal of 347388000960 is 69000883743.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 289248360 + ... + 289249560.

It is an arithmetic number, because the mean of its divisors is an integer number (1148568696).

Almost surely, 2^347388000960 is an apocalyptic number.

347388000960 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 347388000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771838163712).

347388000960 is an abundant number, since it is smaller than the sum of its proper divisors (1196288326464).

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

347388000960 is a wasteful number, since it uses less digits than its factorization.

347388000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 347388000960 in words is "three hundred forty-seven billion, three hundred eighty-eight million, nine hundred sixty", and thus it is an aban number.