348846960 has 320 divisors, whose sum is σ = 1382768640. Its totient is φ = 70640640.

The previous prime is 348846959. The next prime is 348846977. The reversal of 348846960 is 69648843.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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, 794421 + ... + 794859.

It is an arithmetic number, because the mean of its divisors is an integer number (4321152).

Almost surely, 2^348846960 is an apocalyptic number.

348846960 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 348846960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691384320).

348846960 is an abundant number, since it is smaller than the sum of its proper divisors (1033921680).

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

348846960 is a wasteful number, since it uses less digits than its factorization.

348846960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 348846960 is about 18677.4452214429. The cubic root of 348846960 is about 703.9551344514.

The spelling of 348846960 in words is "three hundred forty-eight million, eight hundred forty-six thousand, nine hundred sixty".