349028574435072 has 1080 divisors, whose sum is σ = 1282954454757360. Its totient is φ = 93935035514880.

The previous prime is 349028574435049. The next prime is 349028574435091. The reversal of 349028574435072 is 270534475820943.

It is a happy number.

349028574435072 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 2 + 8 + 574 + 4 + 3 + 50 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1207955643 + ... + 1208244549.

It is an arithmetic number, because the mean of its divisors is an integer number (1187920791442).

Almost surely, 2^{349028574435072} is an apocalyptic number.

349028574435072 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 349028574435072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641477227378680).

349028574435072 is an abundant number, since it is smaller than the sum of its proper divisors (933925880322288).

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

349028574435072 is a wasteful number, since it uses less digits than its factorization.

349028574435072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289019 (or 288989 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 349028574435072 in words is "three hundred forty-nine trillion, twenty-eight billion, five hundred seventy-four million, four hundred thirty-five thousand, seventy-two".