306423374400 has 1008 divisors, whose sum is σ = 1299185055168. Its totient is φ = 67516416000.

The previous prime is 306423374393. The next prime is 306423374401. The reversal of 306423374400 is 4473324603.

306423374400 is a `hidden beast` number, since 3 + 0 + 642 + 3 + 3 + 7 + 4 + 4 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (306423374401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 137965290 + ... + 137967510.

Almost surely, 2^306423374400 is an apocalyptic number.

306423374400 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 306423374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649592527584).

306423374400 is an abundant number, since it is smaller than the sum of its proper divisors (992761680768).

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

306423374400 is a wasteful number, since it uses less digits than its factorization.

306423374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 306423374400 in words is "three hundred six billion, four hundred twenty-three million, three hundred seventy-four thousand, four hundred".