386434776 has 256 divisors, whose sum is σ = 1274112000. Its totient is φ = 96864768.

The previous prime is 386434759. The next prime is 386434777. The reversal of 386434776 is 677434683.

It is a super-2 number, since 2×386434776² = 298663672204340352, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

386434776 is a modest number, since divided by 34776 gives 3864 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386434777) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2461290 + ... + 2461446.

It is an arithmetic number, because the mean of its divisors is an integer number (4977000).

Almost surely, 2^386434776 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 386434776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637056000).

386434776 is an abundant number, since it is smaller than the sum of its proper divisors (887677224).

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

386434776 is a wasteful number, since it uses less digits than its factorization.

386434776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 205 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 48.

The square root of 386434776 is about 19657.9443482781. The cubic root of 386434776 is about 728.3812106041.

It can be divided in two parts, 3864 and 34776, that multiplied together give a square (134374464 = 11592²).

The spelling of 386434776 in words is "three hundred eighty-six million, four hundred thirty-four thousand, seven hundred seventy-six".