385761976320 has 1792 divisors, whose sum is σ = 1652387807232. Its totient is φ = 74742497280.

The previous prime is 385761976273. The next prime is 385761976349. The reversal of 385761976320 is 23679167583.

It is a tau number, because it is divible by the number of its divisors (1792).

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 127 ways as a sum of consecutive naturals, for example, 10425999342 + ... + 10425999378.

Almost surely, 2^385761976320 is an apocalyptic number.

385761976320 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 385761976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826193903616).

385761976320 is an abundant number, since it is smaller than the sum of its proper divisors (1266625830912).

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

385761976320 is a wasteful number, since it uses less digits than its factorization.

385761976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 385761976320 in words is "three hundred eighty-five billion, seven hundred sixty-one million, nine hundred seventy-six thousand, three hundred twenty".