348442375680 has 480 divisors, whose sum is σ = 1393427939904. Its totient is φ = 78819360768.

The previous prime is 348442375621. The next prime is 348442375681. The reversal of 348442375680 is 86573244843.

348442375680 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 42 + 37 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348442375681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15633024 + ... + 15655296.

Almost surely, 2^348442375680 is an apocalyptic number.

348442375680 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 348442375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696713969952).

348442375680 is an abundant number, since it is smaller than the sum of its proper divisors (1044985564224).

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

348442375680 is a wasteful number, since it uses less digits than its factorization.

348442375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22406 (or 22387 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 348442375680 in words is "three hundred forty-eight billion, four hundred forty-two million, three hundred seventy-five thousand, six hundred eighty".