334728806400 has 1260 divisors, whose sum is σ = 1332293113200. Its totient is φ = 83129794560.

The previous prime is 334728806339. The next prime is 334728806431. The reversal of 334728806400 is 4608827433.

It is a super-2 number, since 2×334728806400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5673369571 + ... + 5673369629.

Almost surely, 2^334728806400 is an apocalyptic number.

334728806400 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 334728806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666146556600).

334728806400 is an abundant number, since it is smaller than the sum of its proper divisors (997564306800).

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

334728806400 is an frugal number, since it uses more digits than its factorization.

334728806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 334728806400 in words is "three hundred thirty-four billion, seven hundred twenty-eight million, eight hundred six thousand, four hundred".