348144680 has 64 divisors (see below), whose sum is σ = 846977040. Its totient is φ = 128028672.

The previous prime is 348144673. The next prime is 348144689. The reversal of 348144680 is 86441843.

It can be written as a sum of positive squares in 8 ways, for example, as 128097124 + 220047556 = 11318^2 + 14834^2 .

It is a super-3 number, since 3×348144680³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (348144689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142832 + ... + 145248.

Almost surely, 2^348144680 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 348144680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423488520).

348144680 is an abundant number, since it is smaller than the sum of its proper divisors (498832360).

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

348144680 is a wasteful number, since it uses less digits than its factorization.

348144680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 348144680 is about 18658.6355342506. The cubic root of 348144680 is about 703.4824288537.

It can be divided in two parts, 348144 and 680, that multiplied together give a triangular number (236737920 = T₂₁₇₅₉).

The spelling of 348144680 in words is "three hundred forty-eight million, one hundred forty-four thousand, six hundred eighty".