348316428096 has 560 divisors, whose sum is σ = 1337710872960. Its totient is φ = 87026503680.

The previous prime is 348316428091. The next prime is 348316428113. The reversal of 348316428096 is 690824613843.

348316428096 is a `hidden beast` number, since 3 + 48 + 316 + 4 + 280 + 9 + 6 = 666.

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 (348316428091) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8943706 + ... + 8982566.

It is an arithmetic number, because the mean of its divisors is an integer number (2388769416).

Almost surely, 2^348316428096 is an apocalyptic number.

348316428096 is a gapful number since it is divisible by the number (36) 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 348316428096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668855436480).

348316428096 is an abundant number, since it is smaller than the sum of its proper divisors (989394444864).

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

348316428096 is a wasteful number, since it uses less digits than its factorization.

348316428096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38924 (or 38905 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 348316428096 in words is "three hundred forty-eight billion, three hundred sixteen million, four hundred twenty-eight thousand, ninety-six".