348067528704 has 1360 divisors, whose sum is σ = 1370268662400. Its totient is φ = 85614133248.

The previous prime is 348067528691. The next prime is 348067528763. The reversal of 348067528704 is 407825760843.

348067528704 is a `hidden beast` number, since 3 + 48 + 0 + 6 + 7 + 528 + 70 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12002328562 + ... + 12002328590.

Almost surely, 2^348067528704 is an apocalyptic number.

348067528704 is a gapful number since it is divisible by the number (34) 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 348067528704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685134331200).

348067528704 is an abundant number, since it is smaller than the sum of its proper divisors (1022201133696).

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

348067528704 is an equidigital number, since it uses as much as digits as its factorization.

348067528704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 348067528704 in words is "three hundred forty-eight billion, sixty-seven million, five hundred twenty-eight thousand, seven hundred four".