350023680000 has 800 divisors, whose sum is σ = 1312942083420. Its totient is φ = 92897280000.

The previous prime is 350023679939. The next prime is 350023680011. The reversal of 350023680000 is 86320053.

350023680000 is a `hidden beast` number, since 350 + 0 + 236 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 49 ways as a sum of consecutive naturals, for example, 1658879895 + ... + 1658880105.

Almost surely, 2^350023680000 is an apocalyptic number.

350023680000 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 350023680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656471041710).

350023680000 is an abundant number, since it is smaller than the sum of its proper divisors (962918403420).

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

350023680000 is an frugal number, since it uses more digits than its factorization.

350023680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 350023680000 in words is "three hundred fifty billion, twenty-three million, six hundred eighty thousand".