386576736 has 384 divisors, whose sum is σ = 1402168320. Its totient is φ = 90243072.

The previous prime is 386576681. The next prime is 386576737. The reversal of 386576736 is 637675683.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386576737) 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, 2821660 + ... + 2821796.

It is an arithmetic number, because the mean of its divisors is an integer number (3651480).

Almost surely, 2^386576736 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 386576736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701084160).

386576736 is an abundant number, since it is smaller than the sum of its proper divisors (1015591584).

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

386576736 is a wasteful number, since it uses less digits than its factorization.

386576736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 51.

The square root of 386576736 is about 19661.5547706686. The cubic root of 386576736 is about 728.4703919648.

It can be divided in two parts, 3865 and 76736, that added together give a triangular number (80601 = T₄₀₁).

The spelling of 386576736 in words is "three hundred eighty-six million, five hundred seventy-six thousand, seven hundred thirty-six".