348225504 has 192 divisors, whose sum is σ = 1051626240. Its totient is φ = 99921920.

The previous prime is 348225503. The next prime is 348225509. The reversal of 348225504 is 405522843.

It is a super-2 number, since 2×348225504² = 242522003272108032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348225503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2541724 + ... + 2541860.

It is an arithmetic number, because the mean of its divisors is an integer number (5477220).

Almost surely, 2^348225504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348225504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525813120).

348225504 is an abundant number, since it is smaller than the sum of its proper divisors (703400736).

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

348225504 is a wasteful number, since it uses less digits than its factorization.

348225504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 348225504 is about 18660.8012689702. The cubic root of 348225504 is about 703.5368639470.

The spelling of 348225504 in words is "three hundred forty-eight million, two hundred twenty-five thousand, five hundred four".