349033486032 has 360 divisors, whose sum is σ = 1257065739072. Its totient is φ = 89379763200.

The previous prime is 349033486003. The next prime is 349033486037. The reversal of 349033486032 is 230684330943.

349033486032 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 3 + 34 + 8 + 603 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349033486037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5479068 + ... + 5542404.

Almost surely, 2^349033486032 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 349033486032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628532869536).

349033486032 is an abundant number, since it is smaller than the sum of its proper divisors (908032253040).

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

349033486032 is a wasteful number, since it uses less digits than its factorization.

349033486032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63447 (or 63431 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 349033486032 in words is "three hundred forty-nine billion, thirty-three million, four hundred eighty-six thousand, thirty-two".