385235136 has 224 divisors, whose sum is σ = 1331366400. Its totient is φ = 107688960.

The previous prime is 385235107. The next prime is 385235153. The reversal of 385235136 is 631532583.

It is a super-2 number, since 2×385235136² = 296812220017876992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 385235136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246325 + ... + 247883.

It is an arithmetic number, because the mean of its divisors is an integer number (5943600).

Almost surely, 2^385235136 is an apocalyptic number.

385235136 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 385235136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665683200).

385235136 is an abundant number, since it is smaller than the sum of its proper divisors (946131264).

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

385235136 is a wasteful number, since it uses less digits than its factorization.

385235136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1588 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 385235136 is about 19627.4077758628. The cubic root of 385235136 is about 727.6267055322.

The spelling of 385235136 in words is "three hundred eighty-five million, two hundred thirty-five thousand, one hundred thirty-six".