348828480 has 672 divisors, whose sum is σ = 1624267008. Its totient is φ = 66908160.

The previous prime is 348828463. The next prime is 348828509. The reversal of 348828480 is 84828843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×348828480² = 243362616918220800, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 26832954 + ... + 26832966.

It is an arithmetic number, because the mean of its divisors is an integer number (2417064).

Almost surely, 2^348828480 is an apocalyptic number.

348828480 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 348828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812133504).

348828480 is an abundant number, since it is smaller than the sum of its proper divisors (1275438528).

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

348828480 is a wasteful number, since it uses less digits than its factorization.

348828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 348828480 is about 18676.9505005501. The cubic root of 348828480 is about 703.9427036703.

It can be divided in two parts, 348 and 828480, that added together give a palindrome (828828).

The spelling of 348828480 in words is "three hundred forty-eight million, eight hundred twenty-eight thousand, four hundred eighty".