30808864350 has 288 divisors, whose sum is σ = 95202656640. Its totient is φ = 7344432000.

The previous prime is 30808864337. The next prime is 30808864367. The reversal of 30808864350 is 5346880803.

It is a super-2 number, since 2×30808864350² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30808864296 and 30808864305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8150761 + ... + 8154539.

It is an arithmetic number, because the mean of its divisors is an integer number (330564780).

Almost surely, 2^30808864350 is an apocalyptic number.

30808864350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30808864350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47601328320).

30808864350 is an abundant number, since it is smaller than the sum of its proper divisors (64393792290).

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

30808864350 is a wasteful number, since it uses less digits than its factorization.

30808864350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 30808864350 in words is "thirty billion, eight hundred eight million, eight hundred sixty-four thousand, three hundred fifty".