349727235036720 has 160 divisors (see below), whose sum is σ = 1158248251534080. Its totient is φ = 87033454801920.

The previous prime is 349727235036713. The next prime is 349727235036721. The reversal of 349727235036720 is 27630532727943.

It is a super-3 number, since 3×349727235036720³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (349727235036721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 572042011 + ... + 572653050.

It is an arithmetic number, because the mean of its divisors is an integer number (7239051572088).

Almost surely, 2^{349727235036720} is an apocalyptic number.

349727235036720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349727235036720 is an abundant number, since it is smaller than the sum of its proper divisors (808521016497360).

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

349727235036720 is a wasteful number, since it uses less digits than its factorization.

349727235036720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144695163 (or 1144695157 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 60.

The spelling of 349727235036720 in words is "three hundred forty-nine trillion, seven hundred twenty-seven billion, two hundred thirty-five million, thirty-six thousand, seven hundred twenty".