348306480 has 480 divisors, whose sum is σ = 1364912640. Its totient is φ = 82114560.

The previous prime is 348306473. The next prime is 348306487. The reversal of 348306480 is 84603843.

348306480 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 0 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (348306473) and next prime (348306487).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (348306487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8495260 + ... + 8495300.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 2^348306480 is an apocalyptic number.

348306480 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 348306480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682456320).

348306480 is an abundant number, since it is smaller than the sum of its proper divisors (1016606160).

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

348306480 is a wasteful number, since it uses less digits than its factorization.

348306480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 348306480 is about 18662.9708246035. The cubic root of 348306480 is about 703.5913929664.

The spelling of 348306480 in words is "three hundred forty-eight million, three hundred six thousand, four hundred eighty".