348750400 has 42 divisors (see below), whose sum is σ = 858147890. Its totient is φ = 139499520.

The previous prime is 348750397. The next prime is 348750401. The reversal of 348750400 is 4057843.

348750400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 84492864 + 264257536 = 9192^2 + 16256^2 .

It is not an unprimeable number, because it can be changed into a prime (348750401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107385 + ... + 110584.

Almost surely, 2^348750400 is an apocalyptic number.

It is an amenable number.

348750400 is an abundant number, since it is smaller than the sum of its proper divisors (509397490).

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

348750400 is a wasteful number, since it uses less digits than its factorization.

348750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217991 (or 217976 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 348750400 is about 18674.8601065711. The cubic root of 348750400 is about 703.8901774280.

The spelling of 348750400 in words is "three hundred forty-eight million, seven hundred fifty thousand, four hundred".