348078900 has 144 divisors (see below), whose sum is σ = 1093680000. Its totient is φ = 84963840.

The previous prime is 348078877. The next prime is 348078901. The reversal of 348078900 is 9870843.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348078901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580801 + ... + 581399.

It is an arithmetic number, because the mean of its divisors is an integer number (7595000).

Almost surely, 2^348078900 is an apocalyptic number.

348078900 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 348078900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546840000).

348078900 is an abundant number, since it is smaller than the sum of its proper divisors (745601100).

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

348078900 is a wasteful number, since it uses less digits than its factorization.

348078900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 348078900 is about 18656.8727283004. The cubic root of 348078900 is about 703.4381196995.

The spelling of 348078900 in words is "three hundred forty-eight million, seventy-eight thousand, nine hundred".