387122976 has 120 divisors (see below), whose sum is σ = 1145188044. Its totient is φ = 128286720.

The previous prime is 387122969. The next prime is 387122993. The reversal of 387122976 is 679221783.

It can be written as a sum of positive squares in 2 ways, for example, as 384944400 + 2178576 = 19620^2 + 1476^2 .

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 603616 + ... + 604256.

Almost surely, 2^387122976 is an apocalyptic number.

387122976 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 387122976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572594022).

387122976 is an abundant number, since it is smaller than the sum of its proper divisors (758065068).

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

387122976 is a wasteful number, since it uses less digits than its factorization.

387122976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 879 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 387122976 is about 19675.4409353387. The cubic root of 387122976 is about 728.8133444796.

The spelling of 387122976 in words is "three hundred eighty-seven million, one hundred twenty-two thousand, nine hundred seventy-six".