348870966409 has 27 divisors (see below), whose sum is σ = 428409586791. Its totient is φ = 283229926560.

The previous prime is 348870966407. The next prime is 348870966439. The reversal of 348870966409 is 904669078843.

The square root of 348870966409 is 590653.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 134650100809 + 214220865600 = 366947^2 + 462840^2 .

It is not a de Polignac number, because 348870966409 - 2¹ = 348870966407 is a prime.

It is a super-3 number, since 3×348870966409³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (348870966403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 78554629 + ... + 78559069.

It is an arithmetic number, because the mean of its divisors is an integer number (15867021733).

Almost surely, 2^348870966409 is an apocalyptic number.

348870966409 is the 590653-rd square number.

348870966409 is the 295327-th centered octagonal number.

It is an amenable number.

348870966409 is a deficient number, since it is larger than the sum of its proper divisors (79538620382).

348870966409 is an frugal number, since it uses more digits than its factorization.

348870966409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8934 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 64.

Multiplying 348870966409 by its sum of digits (64), we get a square (22327741850176 = 4725224²).

The spelling of 348870966409 in words is "three hundred forty-eight billion, eight hundred seventy million, nine hundred sixty-six thousand, four hundred nine".