348213600 has 576 divisors, whose sum is σ = 1499904000. Its totient is φ = 77898240.

The previous prime is 348213599. The next prime is 348213611. The reversal of 348213600 is 6312843.

It is a happy number.

348213600 is a `hidden beast` number, since 3 + 48 + 2 + 13 + 600 = 666.

It is a super-2 number, since 2×348213600² = 242505422449920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7408777 + ... + 7408823.

It is an arithmetic number, because the mean of its divisors is an integer number (2604000).

Almost surely, 2^348213600 is an apocalyptic number.

348213600 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 348213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749952000).

348213600 is an abundant number, since it is smaller than the sum of its proper divisors (1151690400).

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

348213600 is a wasteful number, since it uses less digits than its factorization.

348213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 348213600 is about 18660.4823088794. The cubic root of 348213600 is about 703.5288471129.

The spelling of 348213600 in words is "three hundred forty-eight million, two hundred thirteen thousand, six hundred".