386882496 has 504 divisors, whose sum is σ = 1524784352. Its totient is φ = 91238400.

The previous prime is 386882491. The next prime is 386882497. The reversal of 386882496 is 694288683.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×386882496² = 299356131422380032, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386882491) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6342306 + ... + 6342366.

Almost surely, 2^386882496 is an apocalyptic number.

386882496 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 386882496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762392176).

386882496 is an abundant number, since it is smaller than the sum of its proper divisors (1137901856).

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

386882496 is a wasteful number, since it uses less digits than its factorization.

386882496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 386882496 is about 19669.3288141716. The cubic root of 386882496 is about 728.6624007676.

The spelling of 386882496 in words is "three hundred eighty-six million, eight hundred eighty-two thousand, four hundred ninety-six".