348538400 has 144 divisors (see below), whose sum is σ = 983062080. Its totient is φ = 118195200.

The previous prime is 348538397. The next prime is 348538447. The reversal of 348538400 is 4835843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610115 + ... + 610685.

It is an arithmetic number, because the mean of its divisors is an integer number (6826820).

Almost surely, 2^348538400 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 348538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491531040).

348538400 is an abundant number, since it is smaller than the sum of its proper divisors (634523680).

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

348538400 is a wasteful number, since it uses less digits than its factorization.

348538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 348538400 is about 18669.1831637059. The cubic root of 348538400 is about 703.7475205164.

The spelling of 348538400 in words is "three hundred forty-eight million, five hundred thirty-eight thousand, four hundred".