348936480 has 144 divisors (see below), whose sum is σ = 1198701504. Its totient is φ = 92428800.

The previous prime is 348936479. The next prime is 348936487. The reversal of 348936480 is 84639843.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (348936487) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 239755 + ... + 241205.

It is an arithmetic number, because the mean of its divisors is an integer number (8324316).

Almost surely, 2^348936480 is an apocalyptic number.

348936480 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 348936480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599350752).

348936480 is an abundant number, since it is smaller than the sum of its proper divisors (849765024).

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

348936480 is a wasteful number, since it uses less digits than its factorization.

348936480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 348936480 is about 18679.8415410838. The cubic root of 348936480 is about 704.0153448790.

The spelling of 348936480 in words is "three hundred forty-eight million, nine hundred thirty-six thousand, four hundred eighty".