386629984 has 24 divisors (see below), whose sum is σ = 819730800. Its totient is φ = 178444416.

The previous prime is 386629951. The next prime is 386629987. The reversal of 386629984 is 489926683.

It is a happy number.

It is a super-3 number, since 3×386629984³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386629987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 464284 + ... + 465115.

It is an arithmetic number, because the mean of its divisors is an integer number (34155450).

Almost surely, 2^386629984 is an apocalyptic number.

It is an amenable number.

386629984 is an abundant number, since it is smaller than the sum of its proper divisors (433100816).

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

386629984 is a wasteful number, since it uses less digits than its factorization.

386629984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929422 (or 929414 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 55.

The square root of 386629984 is about 19662.9088387248. The cubic root of 386629984 is about 728.5038375113.

The spelling of 386629984 in words is "three hundred eighty-six million, six hundred twenty-nine thousand, nine hundred eighty-four".