348965760 has 512 divisors, whose sum is σ = 1381847040. Its totient is φ = 73728000.

The previous prime is 348965717. The next prime is 348965797. The reversal of 348965760 is 67569843.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 8511340 + ... + 8511380.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920).

Almost surely, 2^348965760 is an apocalyptic number.

348965760 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 348965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690923520).

348965760 is an abundant number, since it is smaller than the sum of its proper divisors (1032881280).

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

348965760 is a wasteful number, since it uses less digits than its factorization.

348965760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 348965760 is about 18680.6252572016. The cubic root of 348965760 is about 704.0350361351.

The spelling of 348965760 in words is "three hundred forty-eight million, nine hundred sixty-five thousand, seven hundred sixty".