348814674432 has 320 divisors, whose sum is σ = 1218093465600. Its totient is φ = 96445624320.

The previous prime is 348814674391. The next prime is 348814674443. The reversal of 348814674432 is 234476418843.

348814674432 is a `hidden beast` number, since 34 + 8 + 81 + 467 + 44 + 32 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2941669 + ... + 3057947.

It is an arithmetic number, because the mean of its divisors is an integer number (3806542080).

Almost surely, 2^348814674432 is an apocalyptic number.

348814674432 is a gapful number since it is divisible by the number (32) 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 348814674432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609046732800).

348814674432 is an abundant number, since it is smaller than the sum of its proper divisors (869278791168).

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

348814674432 is a wasteful number, since it uses less digits than its factorization.

348814674432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116344 (or 116322 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 348814674432 in words is "three hundred forty-eight billion, eight hundred fourteen million, six hundred seventy-four thousand, four hundred thirty-two".