348648834240 has 336 divisors, whose sum is σ = 1383339140352. Its totient is φ = 78945896448.

The previous prime is 348648834239. The next prime is 348648834253. The reversal of 348648834240 is 42438846843.

348648834240 is a `hidden beast` number, since 3 + 4 + 86 + 488 + 3 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2076307 + ... + 2237933.

Almost surely, 2^348648834240 is an apocalyptic number.

348648834240 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 348648834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691669570176).

348648834240 is an abundant number, since it is smaller than the sum of its proper divisors (1034690306112).

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

348648834240 is a wasteful number, since it uses less digits than its factorization.

348648834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161764 (or 161751 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 348648834240 in words is "three hundred forty-eight billion, six hundred forty-eight million, eight hundred thirty-four thousand, two hundred forty".