349675808328 has 768 divisors, whose sum is σ = 1295668224000. Its totient is φ = 85924955520.

The previous prime is 349675808327. The next prime is 349675808341. The reversal of 349675808328 is 823808576943.

349675808328 is a `hidden beast` number, since 3 + 49 + 6 + 7 + 580 + 8 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (349675808323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 486335953 + ... + 486336671.

It is an arithmetic number, because the mean of its divisors is an integer number (1687068000).

Almost surely, 2^349675808328 is an apocalyptic number.

349675808328 is a gapful number since it is divisible by the number (38) 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 349675808328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647834112000).

349675808328 is an abundant number, since it is smaller than the sum of its proper divisors (945992415672).

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

349675808328 is a wasteful number, since it uses less digits than its factorization.

349675808328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 349675808328 in words is "three hundred forty-nine billion, six hundred seventy-five million, eight hundred eight thousand, three hundred twenty-eight".