348480000 has 450 divisors, whose sum is σ = 1381407027. Its totient is φ = 84480000.

The previous prime is 348479993. The next prime is 348480001. The reversal of 348480000 is 84843.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 80568576 + 267911424 = 8976^2 + 16368^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=13200.

It is not an unprimeable number, because it can be changed into a prime (348480001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 31679995 + ... + 31680005.

Almost surely, 2^348480000 is an apocalyptic number.

348480000 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 348480000

348480000 is an abundant number, since it is smaller than the sum of its proper divisors (1032927027).

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

348480000 is an equidigital number, since it uses as much as digits as its factorization.

348480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 348480000 is about 18667.6190233249. The cubic root of 348480000 is about 703.7082124125.

The spelling of 348480000 in words is "three hundred forty-eight million, four hundred eighty thousand".