385101376 has 63 divisors (see below), whose sum is σ = 843756123. Its totient is φ = 174261120.

The previous prime is 385101361. The next prime is 385101419. The reversal of 385101376 is 673101583.

The square root of 385101376 is 19624.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 1726801 + ... + 1727023.

Almost surely, 2^385101376 is an apocalyptic number.

385101376 is the 19624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385101376

385101376 is an abundant number, since it is smaller than the sum of its proper divisors (458654747).

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

385101376 is an equidigital number, since it uses as much as digits as its factorization.

385101376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The cubic root of 385101376 is about 727.5424811146.

It can be divided in two parts, 385 and 101376, that added together give a square (101761 = 319²).

The spelling of 385101376 in words is "three hundred eighty-five million, one hundred one thousand, three hundred seventy-six".