349238585340 has 48 divisors (see below), whose sum is σ = 1086520044960. Its totient is φ = 93130289280.

The previous prime is 349238585299. The next prime is 349238585341. The reversal of 349238585340 is 43585832943.

349238585340 is a `hidden beast` number, since 3 + 4 + 9 + 23 + 8 + 585 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349238585341) 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, 323368521 + ... + 323369600.

It is an arithmetic number, because the mean of its divisors is an integer number (22635834270).

Almost surely, 2^349238585340 is an apocalyptic number.

349238585340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349238585340 is an abundant number, since it is smaller than the sum of its proper divisors (737281459620).

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

349238585340 is a wasteful number, since it uses less digits than its factorization.

349238585340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646738139 (or 646738131 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 349238585340 in words is "three hundred forty-nine billion, two hundred thirty-eight million, five hundred eighty-five thousand, three hundred forty".