346378249728 has 960 divisors, whose sum is σ = 1239365318400. Its totient is φ = 96378605568.

The previous prime is 346378249717. The next prime is 346378249751. The reversal of 346378249728 is 827942873643.

346378249728 is a `hidden beast` number, since 3 + 4 + 63 + 7 + 82 + 497 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3237179851 + ... + 3237179957.

It is an arithmetic number, because the mean of its divisors is an integer number (1291005540).

Almost surely, 2^346378249728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346378249728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619682659200).

346378249728 is an abundant number, since it is smaller than the sum of its proper divisors (892987068672).

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

346378249728 is an frugal number, since it uses more digits than its factorization.

346378249728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 178 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 346378249728 in words is "three hundred forty-six billion, three hundred seventy-eight million, two hundred forty-nine thousand, seven hundred twenty-eight".