348485760 has 512 divisors, whose sum is σ = 1464883200. Its totient is φ = 76640256.

The previous prime is 348485743. The next prime is 348485791. The reversal of 348485760 is 67584843.

348485760 is a `hidden beast` number, since 34 + 8 + 48 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5201247 + ... + 5201313.

It is an arithmetic number, because the mean of its divisors is an integer number (2861100).

Almost surely, 2^348485760 is an apocalyptic number.

348485760 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 348485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732441600).

348485760 is an abundant number, since it is smaller than the sum of its proper divisors (1116397440).

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

348485760 is a wasteful number, since it uses less digits than its factorization.

348485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 348485760 is about 18667.7733005305. The cubic root of 348485760 is about 703.7120895714.

The spelling of 348485760 in words is "three hundred forty-eight million, four hundred eighty-five thousand, seven hundred sixty".