334033350420 has 384 divisors, whose sum is σ = 1174816161792. Its totient is φ = 68892019200.

The previous prime is 334033350383. The next prime is 334033350463. The reversal of 334033350420 is 24053330433.

It is a super-2 number, since 2×334033350420² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 550301757 + ... + 550302363.

It is an arithmetic number, because the mean of its divisors is an integer number (3059417088).

Almost surely, 2^334033350420 is an apocalyptic number.

334033350420 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 334033350420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587408080896).

334033350420 is an abundant number, since it is smaller than the sum of its proper divisors (840782811372).

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

334033350420 is a wasteful number, since it uses less digits than its factorization.

334033350420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 30.

Adding to 334033350420 its reverse (24053330433), we get a palindrome (358086680853).

The spelling of 334033350420 in words is "three hundred thirty-four billion, thirty-three million, three hundred fifty thousand, four hundred twenty".