386729616 has 320 divisors, whose sum is σ = 1319915520. Its totient is φ = 94832640.

The previous prime is 386729611. The next prime is 386729621. The reversal of 386729616 is 616927683.

It is an interprime number because it is at equal distance from previous prime (386729611) and next prime (386729621).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (653184) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (386729611) 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 63 ways as a sum of consecutive naturals, for example, 5446861 + ... + 5446931.

It is an arithmetic number, because the mean of its divisors is an integer number (4124736).

Almost surely, 2^386729616 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 386729616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659957760).

386729616 is an abundant number, since it is smaller than the sum of its proper divisors (933185904).

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

386729616 is a wasteful number, since it uses less digits than its factorization.

386729616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 386729616 is about 19665.4421765695. The cubic root of 386729616 is about 728.5664090169.

The spelling of 386729616 in words is "three hundred eighty-six million, seven hundred twenty-nine thousand, six hundred sixteen".