348576480 has 192 divisors, whose sum is σ = 1394426880. Its totient is φ = 79667712.

The previous prime is 348576479. The next prime is 348576499. The reversal of 348576480 is 84675843.

348576480 is a `hidden beast` number, since 34 + 8 + 576 + 48 + 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24477 + ... + 36003.

It is an arithmetic number, because the mean of its divisors is an integer number (7262640).

Almost surely, 2^348576480 is an apocalyptic number.

348576480 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 348576480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697213440).

348576480 is an abundant number, since it is smaller than the sum of its proper divisors (1045850400).

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

348576480 is a wasteful number, since it uses less digits than its factorization.

348576480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11558 (or 11544 counting only the distinct ones).

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

The square root of 348576480 is about 18670.2029983608. The cubic root of 348576480 is about 703.7731491890.

The spelling of 348576480 in words is "three hundred forty-eight million, five hundred seventy-six thousand, four hundred eighty".