349823819520 has 576 divisors, whose sum is σ = 1442835072000. Its totient is φ = 78601273344.

The previous prime is 349823819507. The next prime is 349823819531. The reversal of 349823819520 is 25918328943.

349823819520 is a `hidden beast` number, since 3 + 4 + 9 + 82 + 38 + 1 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14261026 + ... + 14285534.

It is an arithmetic number, because the mean of its divisors is an integer number (2504922000).

Almost surely, 2^349823819520 is an apocalyptic number.

349823819520 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 349823819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721417536000).

349823819520 is an abundant number, since it is smaller than the sum of its proper divisors (1093011252480).

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

349823819520 is a wasteful number, since it uses less digits than its factorization.

349823819520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24605 (or 24585 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 349823819520 in words is "three hundred forty-nine billion, eight hundred twenty-three million, eight hundred nineteen thousand, five hundred twenty".