306648342000 has 3200 divisors, whose sum is σ = 1560316133376. Its totient is φ = 55987200000.

The previous prime is 306648341921. The next prime is 306648342047. The reversal of 306648342000 is 243846603.

It is a happy number.

306648342000 is a `hidden beast` number, since 3 + 0 + 6 + 648 + 3 + 4 + 2 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 5027021970 + ... + 5027022030.

Almost surely, 2^306648342000 is an apocalyptic number.

306648342000 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 306648342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780158066688).

306648342000 is an abundant number, since it is smaller than the sum of its proper divisors (1253667791376).

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

306648342000 is a wasteful number, since it uses less digits than its factorization.

306648342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 306648342000 in words is "three hundred six billion, six hundred forty-eight million, three hundred forty-two thousand".