386964064 has 36 divisors (see below), whose sum is σ = 809304804. Its totient is φ = 182096384.

The previous prime is 386964043. The next prime is 386964107. The reversal of 386964064 is 460469683.

It is a super-3 number, since 3×386964064³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 11674 + ... + 30169.

It is an arithmetic number, because the mean of its divisors is an integer number (22480689).

Almost surely, 2^386964064 is an apocalyptic number.

386964064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

386964064 is an abundant number, since it is smaller than the sum of its proper divisors (422340740).

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

386964064 is a wasteful number, since it uses less digits than its factorization.

386964064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41887 (or 41862 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The square root of 386964064 is about 19671.4021869312. The cubic root of 386964064 is about 728.7136061153.

The spelling of 386964064 in words is "three hundred eighty-six million, nine hundred sixty-four thousand, sixty-four".