349146833380 has 48 divisors (see below), whose sum is σ = 745692116400. Its totient is φ = 137283724800.

The previous prime is 349146833359. The next prime is 349146833383. The reversal of 349146833380 is 83338641943.

It can be written as a sum of positive squares in 8 ways, for example, as 24513538624 + 324633294756 = 156568^2 + 569766^2 .

It is a super-2 number, since 2×349146833380² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (349146833383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1889346 + ... + 2065894.

It is an arithmetic number, because the mean of its divisors is an integer number (15535252425).

Almost surely, 2^349146833380 is an apocalyptic number.

It is an amenable number.

349146833380 is an abundant number, since it is smaller than the sum of its proper divisors (396545283020).

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

349146833380 is a wasteful number, since it uses less digits than its factorization.

349146833380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178240 (or 178238 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 52.

The spelling of 349146833380 in words is "three hundred forty-nine billion, one hundred forty-six million, eight hundred thirty-three thousand, three hundred eighty".