348337080 has 480 divisors, whose sum is σ = 1468172160. Its totient is φ = 71124480.

The previous prime is 348337063. The next prime is 348337091. The reversal of 348337080 is 80733843.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11236665 + ... + 11236695.

It is an arithmetic number, because the mean of its divisors is an integer number (3058692).

Almost surely, 2^348337080 is an apocalyptic number.

348337080 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 348337080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734086080).

348337080 is an abundant number, since it is smaller than the sum of its proper divisors (1119835080).

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

348337080 is a wasteful number, since it uses less digits than its factorization.

348337080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 348337080 is about 18663.7906117702. The cubic root of 348337080 is about 703.6119967233.

The spelling of 348337080 in words is "three hundred forty-eight million, three hundred thirty-seven thousand, eighty".