9306385920 has 320 divisors, whose sum is σ = 35603346240. Its totient is φ = 2290581504.

The previous prime is 9306385901. The next prime is 9306385937. The reversal of 9306385920 is 295836039.

9306385920 is a `hidden beast` number, since 9 + 3 + 0 + 638 + 5 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893382 + ... + 903738.

It is an arithmetic number, because the mean of its divisors is an integer number (111260457).

Almost surely, 2^9306385920 is an apocalyptic number.

9306385920 is a gapful number since it is divisible by the number (90) 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 9306385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17801673120).

9306385920 is an abundant number, since it is smaller than the sum of its proper divisors (26296960320).

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

9306385920 is a wasteful number, since it uses less digits than its factorization.

9306385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10402 (or 10380 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 9306385920 is about 96469.6113809940. The cubic root of 9306385920 is about 2103.4249417536.

The spelling of 9306385920 in words is "nine billion, three hundred six million, three hundred eighty-five thousand, nine hundred twenty".