348324480 has 384 divisors, whose sum is σ = 1409166720. Its totient is φ = 77635584.

The previous prime is 348324461. The next prime is 348324521. The reversal of 348324480 is 84423843.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2136879 + ... + 2137041.

It is an arithmetic number, because the mean of its divisors is an integer number (3669705).

Almost surely, 2^348324480 is an apocalyptic number.

348324480 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 348324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704583360).

348324480 is an abundant number, since it is smaller than the sum of its proper divisors (1060842240).

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

348324480 is a wasteful number, since it uses less digits than its factorization.

348324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 348324480 is about 18663.4530567095. The cubic root of 348324480 is about 703.6035129696.

The spelling of 348324480 in words is "three hundred forty-eight million, three hundred twenty-four thousand, four hundred eighty".