348193238640 has 320 divisors, whose sum is σ = 1180688431104. Its totient is φ = 84372885504.

The previous prime is 348193238639. The next prime is 348193238641. The reversal of 348193238640 is 46832391843.

It is an interprime number because it is at equal distance from previous prime (348193238639) and next prime (348193238641).

It is a super-2 number, since 2×348193238640² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348193238641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55592149 + ... + 55598411.

Almost surely, 2^348193238640 is an apocalyptic number.

348193238640 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 348193238640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590344215552).

348193238640 is an abundant number, since it is smaller than the sum of its proper divisors (832495192464).

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

348193238640 is a wasteful number, since it uses less digits than its factorization.

348193238640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6568 (or 6562 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 348193238640 in words is "three hundred forty-eight billion, one hundred ninety-three million, two hundred thirty-eight thousand, six hundred forty".