348134400 has 198 divisors, whose sum is σ = 1247310792. Its totient is φ = 92774400.

The previous prime is 348134393. The next prime is 348134401. The reversal of 348134400 is 4431843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348134401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 229645 + ... + 231155.

Almost surely, 2^348134400 is an apocalyptic number.

348134400 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 348134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623655396).

348134400 is an abundant number, since it is smaller than the sum of its proper divisors (899176392).

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

348134400 is a wasteful number, since it uses less digits than its factorization.

348134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 348134400 is about 18658.3600565537. The cubic root of 348134400 is about 703.4755046534.

The spelling of 348134400 in words is "three hundred forty-eight million, one hundred thirty-four thousand, four hundred".