349725204675 has 432 divisors, whose sum is σ = 813460078080. Its totient is φ = 141994944000.

The previous prime is 349725204613. The next prime is 349725204691. The reversal of 349725204675 is 576402527943.

349725204675 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 2 + 520 + 46 + 75 = 666.

It is not a de Polignac number, because 349725204675 - 2¹¹ = 349725202627 is a prime.

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 431 ways as a sum of consecutive naturals, for example, 1657465320 + ... + 1657465530.

It is an arithmetic number, because the mean of its divisors is an integer number (1883009440).

Almost surely, 2^349725204675 is an apocalyptic number.

349725204675 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

349725204675 is an abundant number, since it is smaller than the sum of its proper divisors (463734873405).

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

349725204675 is a wasteful number, since it uses less digits than its factorization.

349725204675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 349725204675 in words is "three hundred forty-nine billion, seven hundred twenty-five million, two hundred four thousand, six hundred seventy-five".