385513344 has 240 divisors, whose sum is σ = 1222598520. Its totient is φ = 120559104.

The previous prime is 385513339. The next prime is 385513367. The reversal of 385513344 is 443315583.

385513344 is a `hidden beast` number, since 38 + 551 + 33 + 44 = 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 = 385513299 and 385513308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3742797 + ... + 3742899.

Almost surely, 2^385513344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611299260).

385513344 is an abundant number, since it is smaller than the sum of its proper divisors (837085176).

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

385513344 is a wasteful number, since it uses less digits than its factorization.

385513344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 127 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 385513344 is about 19634.4937291492. The cubic root of 385513344 is about 727.8018218362.

The spelling of 385513344 in words is "three hundred eighty-five million, five hundred thirteen thousand, three hundred forty-four".