348004800 has 504 divisors, whose sum is σ = 1461729360. Its totient is φ = 77875200.

The previous prime is 348004799. The next prime is 348004823. The reversal of 348004800 is 8400843.

348004800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×348004800² = 242214681646080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26769594 + ... + 26769606.

Almost surely, 2^348004800 is an apocalyptic number.

348004800 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 348004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730864680).

348004800 is an abundant number, since it is smaller than the sum of its proper divisors (1113724560).

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

348004800 is a wasteful number, since it uses less digits than its factorization.

348004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 348004800 is about 18654.8867592382. The cubic root of 348004800 is about 703.3881995388.

The spelling of 348004800 in words is "three hundred forty-eight million, four thousand, eight hundred".