334364341050 has 144 divisors (see below), whose sum is σ = 958431906432. Its totient is φ = 83278041600.

The previous prime is 334364341037. The next prime is 334364341063. The reversal of 334364341050 is 50143463433.

334364341050 is a `hidden beast` number, since 3 + 3 + 4 + 3 + 643 + 4 + 1 + 0 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (334364341037) and next prime (334364341063).

It is a super-2 number, since 2×334364341050² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334364340996 and 334364341014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 835327 + ... + 1168973.

It is an arithmetic number, because the mean of its divisors is an integer number (6655777128).

Almost surely, 2^334364341050 is an apocalyptic number.

334364341050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 334364341050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479215953216).

334364341050 is an abundant number, since it is smaller than the sum of its proper divisors (624067565382).

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

334364341050 is a wasteful number, since it uses less digits than its factorization.

334364341050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333813 (or 333805 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 334364341050 in words is "three hundred thirty-four billion, three hundred sixty-four million, three hundred forty-one thousand, fifty".