383826360960 has 864 divisors, whose sum is σ = 1582267599900. Its totient is φ = 85486141440.

The previous prime is 383826360959. The next prime is 383826361003. The reversal of 383826360960 is 69063628383.

383826360960 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 26 + 3 + 609 + 6 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 49252037184 + 334574323776 = 221928^2 + 578424^2 .

It is a junction number, because it is equal to n+sod(n) for n = 383826360897 and 383826360906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 474445036 + ... + 474445844.

Almost surely, 2^383826360960 is an apocalyptic number.

383826360960 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 383826360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791133799950).

383826360960 is an abundant number, since it is smaller than the sum of its proper divisors (1198441238940).

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

383826360960 is a wasteful number, since it uses less digits than its factorization.

383826360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 383826360960 in words is "three hundred eighty-three billion, eight hundred twenty-six million, three hundred sixty thousand, nine hundred sixty".