348872160 has 384 divisors, whose sum is σ = 1388620800. Its totient is φ = 73156608.

The previous prime is 348872159. The next prime is 348872191. The reversal of 348872160 is 61278843.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2140239 + ... + 2140401.

It is an arithmetic number, because the mean of its divisors is an integer number (3616200).

Almost surely, 2^348872160 is an apocalyptic number.

348872160 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 348872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694310400).

348872160 is an abundant number, since it is smaller than the sum of its proper divisors (1039748640).

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

348872160 is a wasteful number, since it uses less digits than its factorization.

348872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 348872160 is about 18678.1198197249. The cubic root of 348872160 is about 703.9720848091.

The spelling of 348872160 in words is "three hundred forty-eight million, eight hundred seventy-two thousand, one hundred sixty".