349593932160 has 384 divisors, whose sum is σ = 1386253440000. Its totient is φ = 80289239040.

The previous prime is 349593932153. The next prime is 349593932183. The reversal of 349593932160 is 61239395943.

349593932160 is a `hidden beast` number, since 3 + 4 + 9 + 593 + 9 + 32 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 349593932097 and 349593932106.

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, 1058641 + ... + 1349039.

It is an arithmetic number, because the mean of its divisors is an integer number (3610035000).

Almost surely, 2^349593932160 is an apocalyptic number.

349593932160 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 349593932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693126720000).

349593932160 is an abundant number, since it is smaller than the sum of its proper divisors (1036659507840).

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

349593932160 is a wasteful number, since it uses less digits than its factorization.

349593932160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290454 (or 290439 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 349593932160 in words is "three hundred forty-nine billion, five hundred ninety-three million, nine hundred thirty-two thousand, one hundred sixty".