306385396800 has 2016 divisors, whose sum is σ = 1350762652800. Its totient is φ = 60197437440.

The previous prime is 306385396777. The next prime is 306385396847. The reversal of 306385396800 is 8693583603.

It is a super-2 number, since 2×306385396800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2810875146 + ... + 2810875254.

Almost surely, 2^306385396800 is an apocalyptic number.

306385396800 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 306385396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675381326400).

306385396800 is an abundant number, since it is smaller than the sum of its proper divisors (1044377256000).

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

306385396800 is a wasteful number, since it uses less digits than its factorization.

306385396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 306385396800 in words is "three hundred six billion, three hundred eighty-five million, three hundred ninety-six thousand, eight hundred".