387820656 has 80 divisors (see below), whose sum is σ = 1129888000. Its totient is φ = 127334592.

The previous prime is 387820651. The next prime is 387820669. The reversal of 387820656 is 656028783.

It is a super-2 number, since 2×387820656² = 300809722440540672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387820651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22245 + ... + 35643.

It is an arithmetic number, because the mean of its divisors is an integer number (14123600).

Almost surely, 2^387820656 is an apocalyptic number.

387820656 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 387820656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564944000).

387820656 is an abundant number, since it is smaller than the sum of its proper divisors (742067344).

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

387820656 is a wasteful number, since it uses less digits than its factorization.

387820656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13483 (or 13471 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 387820656 is about 19693.1626713436. The cubic root of 387820656 is about 729.2509085683.

The spelling of 387820656 in words is "three hundred eighty-seven million, eight hundred twenty thousand, six hundred fifty-six".