349022655072 has 1296 divisors, whose sum is σ = 1372401772560. Its totient is φ = 83279314944.

The previous prime is 349022655061. The next prime is 349022655097. The reversal of 349022655072 is 270556220943.

349022655072 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 2 + 26 + 550 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1537544623 + ... + 1537544849.

It is an arithmetic number, because the mean of its divisors is an integer number (1058951985).

Almost surely, 2^349022655072 is an apocalyptic number.

349022655072 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 349022655072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686200886280).

349022655072 is an abundant number, since it is smaller than the sum of its proper divisors (1023379117488).

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

349022655072 is a wasteful number, since it uses less digits than its factorization.

349022655072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 349022655072 in words is "three hundred forty-nine billion, twenty-two million, six hundred fifty-five thousand, seventy-two".