349353906000 has 320 divisors, whose sum is σ = 1232142852096. Its totient is φ = 84455232000.

The previous prime is 349353905959. The next prime is 349353906029. The reversal of 349353906000 is 609353943.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 24214789 + ... + 24229211.

Almost surely, 2^349353906000 is an apocalyptic number.

349353906000 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 349353906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616071426048).

349353906000 is an abundant number, since it is smaller than the sum of its proper divisors (882788946096).

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

349353906000 is a wasteful number, since it uses less digits than its factorization.

349353906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14827 (or 14811 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 42.

The spelling of 349353906000 in words is "three hundred forty-nine billion, three hundred fifty-three million, nine hundred six thousand".