348878466240 has 224 divisors, whose sum is σ = 1184465260224. Its totient is φ = 86694297600.

The previous prime is 348878466217. The next prime is 348878466253. The reversal of 348878466240 is 42664878843.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1542492 + ... + 1754148.

Almost surely, 2^348878466240 is an apocalyptic number.

348878466240 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 348878466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592232630112).

348878466240 is an abundant number, since it is smaller than the sum of its proper divisors (835586793984).

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

348878466240 is a wasteful number, since it uses less digits than its factorization.

348878466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211795 (or 211785 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 60.

The spelling of 348878466240 in words is "three hundred forty-eight billion, eight hundred seventy-eight million, four hundred sixty-six thousand, two hundred forty".