348718487040 has 640 divisors, whose sum is σ = 1544348298240. Its totient is φ = 72459878400.

The previous prime is 348718486997. The next prime is 348718487041. The reversal of 348718487040 is 40784817843.

348718487040 is a `hidden beast` number, since 3 + 487 + 1 + 84 + 87 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348718487041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5289480 + ... + 5355000.

It is an arithmetic number, because the mean of its divisors is an integer number (2413044216).

Almost surely, 2^348718487040 is an apocalyptic number.

348718487040 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 348718487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772174149120).

348718487040 is an abundant number, since it is smaller than the sum of its proper divisors (1195629811200).

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

348718487040 is a wasteful number, since it uses less digits than its factorization.

348718487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65571 (or 65549 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 348718487040 in words is "three hundred forty-eight billion, seven hundred eighteen million, four hundred eighty-seven thousand, forty".