348072960 has 352 divisors, whose sum is σ = 1245100032. Its totient is φ = 82575360.

The previous prime is 348072941. The next prime is 348072983. The reversal of 348072960 is 69270843.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8094699 + ... + 8094741.

It is an arithmetic number, because the mean of its divisors is an integer number (3537216).

Almost surely, 2^348072960 is an apocalyptic number.

348072960 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 348072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622550016).

348072960 is an abundant number, since it is smaller than the sum of its proper divisors (897027072).

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

348072960 is a wasteful number, since it uses less digits than its factorization.

348072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 348072960 is about 18656.7135369550. The cubic root of 348072960 is about 703.4341182636.

The spelling of 348072960 in words is "three hundred forty-eight million, seventy-two thousand, nine hundred sixty".