385434036 has 108 divisors (see below), whose sum is σ = 1085440356. Its totient is φ = 114635520.

The previous prime is 385434031. The next prime is 385434053. The reversal of 385434036 is 630434583.

It can be written as a sum of positive squares in 2 ways, for example, as 215913636 + 169520400 = 14694^2 + 13020^2 .

It is a super-2 number, since 2×385434036² = 297118792214498592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385434031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 449320 + ... + 450176.

Almost surely, 2^385434036 is an apocalyptic number.

385434036 is a gapful number since it is divisible by the number (36) 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 385434036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542720178).

385434036 is an abundant number, since it is smaller than the sum of its proper divisors (700006320).

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

385434036 is a wasteful number, since it uses less digits than its factorization.

385434036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 385434036 is about 19632.4740162823. The cubic root of 385434036 is about 727.7519104939.

The spelling of 385434036 in words is "three hundred eighty-five million, four hundred thirty-four thousand, thirty-six".