348858900 has 180 divisors, whose sum is σ = 1218219772. Its totient is φ = 85847040.

The previous prime is 348858899. The next prime is 348858901. The reversal of 348858900 is 9858843.

It is an interprime number because it is at equal distance from previous prime (348858899) and next prime (348858901).

It can be written as a sum of positive squares in 6 ways, for example, as 2452356 + 346406544 = 1566^2 + 18612^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348858901) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 103644 + ... + 106956.

Almost surely, 2^348858900 is an apocalyptic number.

348858900 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 348858900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609109886).

348858900 is an abundant number, since it is smaller than the sum of its proper divisors (869360872).

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

348858900 is a wasteful number, since it uses less digits than its factorization.

348858900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 348858900 is about 18677.7648555709. The cubic root of 348858900 is about 703.9631657941.

The spelling of 348858900 in words is "three hundred forty-eight million, eight hundred fifty-eight thousand, nine hundred".