350214000000 has 224 divisors, whose sum is σ = 1162824959400. Its totient is φ = 93388800000.

The previous prime is 350213999987. The next prime is 350214000007. The reversal of 350214000000 is 412053.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350214000007) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5970816 + ... + 6029184.

Almost surely, 2^350214000000 is an apocalyptic number.

350214000000 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 350214000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581412479700).

350214000000 is an abundant number, since it is smaller than the sum of its proper divisors (812610959400).

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

350214000000 is an frugal number, since it uses more digits than its factorization.

350214000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58416 (or 58379 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 350214000000 its reverse (412053), we get a palindrome (350214412053).

The spelling of 350214000000 in words is "three hundred fifty billion, two hundred fourteen million", and thus it is an aban number.