349340400422520 has 192 divisors, whose sum is σ = 1171447254374400. Its totient is φ = 83217564218880.

The previous prime is 349340400422501. The next prime is 349340400422549. The reversal of 349340400422520 is 25224004043943.

It is a super-2 number, since 2×349340400422520² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277207740 + ... + 278465099.

It is an arithmetic number, because the mean of its divisors is an integer number (6101287783200).

Almost surely, 2^{349340400422520} is an apocalyptic number.

349340400422520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349340400422520 is an abundant number, since it is smaller than the sum of its proper divisors (822106853951880).

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

349340400422520 is a wasteful number, since it uses less digits than its factorization.

349340400422520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555672910 (or 555672893 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 349340400422520 in words is "three hundred forty-nine trillion, three hundred forty billion, four hundred million, four hundred twenty-two thousand, five hundred twenty".