349508617752 has 128 divisors (see below), whose sum is σ = 1112986483200. Its totient is φ = 89038891008.

The previous prime is 349508617723. The next prime is 349508617781. The reversal of 349508617752 is 257716805943.

It is an interprime number because it is at equal distance from previous prime (349508617723) and next prime (349508617781).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 349508617692 and 349508617701.

It is a congruent number.

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, 3166183 + ... + 3274710.

It is an arithmetic number, because the mean of its divisors is an integer number (8695206900).

It is a 1-persistent number, because it is pandigital, but 2⋅349508617752 = 699017235504 is not.

Almost surely, 2^349508617752 is an apocalyptic number.

It is an amenable number.

349508617752 is an abundant number, since it is smaller than the sum of its proper divisors (763477865448).

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

349508617752 is a wasteful number, since it uses less digits than its factorization.

349508617752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6440945 (or 6440941 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 349508617752 in words is "three hundred forty-nine billion, five hundred eight million, six hundred seventeen thousand, seven hundred fifty-two".