385384356 has 72 divisors (see below), whose sum is σ = 1178835840. Its totient is φ = 103631616.

The previous prime is 385384331. The next prime is 385384367. The reversal of 385384356 is 653483583.

It is a super-2 number, since 2×385384356² = 297042203699069472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40696 + ... + 49263.

It is an arithmetic number, because the mean of its divisors is an integer number (16372720).

Almost surely, 2^385384356 is an apocalyptic number.

385384356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

385384356 is an abundant number, since it is smaller than the sum of its proper divisors (793451484).

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

385384356 is a wasteful number, since it uses less digits than its factorization.

385384356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89993 (or 89988 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 385384356 is about 19631.2087248850. The cubic root of 385384356 is about 727.7206416169.

It can be divided in two parts, 3853 and 84356, that added together give a square (88209 = 297²).

The spelling of 385384356 in words is "three hundred eighty-five million, three hundred eighty-four thousand, three hundred fifty-six".