348986880 has 560 divisors, whose sum is σ = 1449108144. Its totient is φ = 79626240.

The previous prime is 348986873. The next prime is 348986887. The reversal of 348986880 is 88689843.

348986880 is a `hidden beast` number, since 3 + 489 + 86 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (348986873) and next prime (348986887).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348986887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20528632 + ... + 20528648.

Almost surely, 2^348986880 is an apocalyptic number.

348986880 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 348986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724554072).

348986880 is an abundant number, since it is smaller than the sum of its proper divisors (1100121264).

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

348986880 is an equidigital number, since it uses as much as digits as its factorization.

348986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 348986880 is about 18681.1905402199. The cubic root of 348986880 is about 704.0492389803.

It can be divided in two parts, 348986 and 880, that added together give a triangular number (349866 = T₈₃₆).

The spelling of 348986880 in words is "three hundred forty-eight million, nine hundred eighty-six thousand, eight hundred eighty".