386591616 has 128 divisors (see below), whose sum is σ = 1155904800. Its totient is φ = 128770560.

The previous prime is 386591609. The next prime is 386591641. The reversal of 386591616 is 616195683.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×386591616³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279246 + ... + 280626.

Almost surely, 2^386591616 is an apocalyptic number.

386591616 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 386591616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577952400).

386591616 is an abundant number, since it is smaller than the sum of its proper divisors (769313184).

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

386591616 is an frugal number, since it uses more digits than its factorization.

386591616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1386 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 386591616 is about 19661.9331704693. The cubic root of 386591616 is about 728.4797385355.

Subtracting from 386591616 its product of digits (233280), we obtain a square (386358336 = 19656²).

It can be divided in two parts, 3865 and 91616, that added together give a square (95481 = 309²).

The spelling of 386591616 in words is "three hundred eighty-six million, five hundred ninety-one thousand, six hundred sixteen".