334779480800 has 216 divisors, whose sum is σ = 862879678416. Its totient is φ = 126595194880.

The previous prime is 334779480779. The next prime is 334779480809. The reversal of 334779480800 is 8084977433.

It is a super-2 number, since 2×334779480800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334779480809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145745252 + ... + 145747548.

It is an arithmetic number, because the mean of its divisors is an integer number (3994813326).

Almost surely, 2^334779480800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334779480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431439839208).

334779480800 is an abundant number, since it is smaller than the sum of its proper divisors (528100197616).

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

334779480800 is a wasteful number, since it uses less digits than its factorization.

334779480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 53.

The spelling of 334779480800 in words is "three hundred thirty-four billion, seven hundred seventy-nine million, four hundred eighty thousand, eight hundred".