349673195520 has 432 divisors, whose sum is σ = 1332135817740. Its totient is φ = 84766556160.

The previous prime is 349673195507. The next prime is 349673195527. The reversal of 349673195520 is 25591376943.

349673195520 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 73 + 19 + 552 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 348458812416 + 1214383104 = 590304^2 + 34848^2 .

It is not an unprimeable number, because it can be changed into a prime (349673195527) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11135682 + ... + 11167038.

Almost surely, 2^349673195520 is an apocalyptic number.

349673195520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349673195520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666067908870).

349673195520 is an abundant number, since it is smaller than the sum of its proper divisors (982462622220).

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

349673195520 is a wasteful number, since it uses less digits than its factorization.

349673195520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31412 (or 31378 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 349673195520 in words is "three hundred forty-nine billion, six hundred seventy-three million, one hundred ninety-five thousand, five hundred twenty".