349621942032 has 240 divisors, whose sum is σ = 1108211569920. Its totient is φ = 105824361600.

The previous prime is 349621942027. The next prime is 349621942051. The reversal of 349621942032 is 230249126943.

349621942032 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 219 + 420 + 3 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41523519 + ... + 41531937.

It is an arithmetic number, because the mean of its divisors is an integer number (4617548208).

Almost surely, 2^349621942032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349621942032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554105784960).

349621942032 is an abundant number, since it is smaller than the sum of its proper divisors (758589627888).

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

349621942032 is a wasteful number, since it uses less digits than its factorization.

349621942032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9424 (or 9406 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 349621942032 in words is "three hundred forty-nine billion, six hundred twenty-one million, nine hundred forty-two thousand, thirty-two".