348402763488 has 288 divisors, whose sum is σ = 1051273792800. Its totient is φ = 100406034432.

The previous prime is 348402763483. The next prime is 348402763517. The reversal of 348402763488 is 884367204843.

It is a super-2 number, since 2×348402763488² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348402763481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40092648 + ... + 40101336.

It is an arithmetic number, because the mean of its divisors is an integer number (3650256225).

Almost surely, 2^348402763488 is an apocalyptic number.

348402763488 is a gapful number since it is divisible by the number (38) 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 348402763488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525636896400).

348402763488 is an abundant number, since it is smaller than the sum of its proper divisors (702871029312).

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

348402763488 is a wasteful number, since it uses less digits than its factorization.

348402763488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8842 (or 8815 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 57.

The spelling of 348402763488 in words is "three hundred forty-eight billion, four hundred two million, seven hundred sixty-three thousand, four hundred eighty-eight".