9380305440 has 384 divisors, whose sum is σ = 36272759040. Its totient is φ = 2273080320.

The previous prime is 9380305433. The next prime is 9380305537. The reversal of 9380305440 is 445030839.

9380305440 is a `hidden beast` number, since 9 + 3 + 80 + 30 + 544 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9380305395 and 9380305404.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3847902 + ... + 3850338.

It is an arithmetic number, because the mean of its divisors is an integer number (94460310).

Almost surely, 2^9380305440 is an apocalyptic number.

9380305440 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 9380305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18136379520).

9380305440 is an abundant number, since it is smaller than the sum of its proper divisors (26892453600).

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

9380305440 is a wasteful number, since it uses less digits than its factorization.

9380305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 9380305440 is about 96851.9769545258. The cubic root of 9380305440 is about 2108.9793465923.

The spelling of 9380305440 in words is "nine billion, three hundred eighty million, three hundred five thousand, four hundred forty".