385036899840 has 640 divisors, whose sum is σ = 1399045633920. Its totient is φ = 100350296064.

The previous prime is 385036899823. The next prime is 385036899883. The reversal of 385036899840 is 48998630583.

385036899840 is a `hidden beast` number, since 3 + 8 + 503 + 6 + 89 + 9 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 691268842 + ... + 691269398.

It is an arithmetic number, because the mean of its divisors is an integer number (2186008803).

Almost surely, 2^385036899840 is an apocalyptic number.

385036899840 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 385036899840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699522816960).

385036899840 is an abundant number, since it is smaller than the sum of its proper divisors (1014008734080).

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

385036899840 is a wasteful number, since it uses less digits than its factorization.

385036899840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 385036899840 in words is "three hundred eighty-five billion, thirty-six million, eight hundred ninety-nine thousand, eight hundred forty".