38577966 has 64 divisors (see below), whose sum is σ = 92606976. Its totient is φ = 10483200.

The previous prime is 38577911. The next prime is 38577971. The reversal of 38577966 is 66977583.

38577966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73786 + ... + 74306.

It is an arithmetic number, because the mean of its divisors is an integer number (1446984).

Almost surely, 2^38577966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38577966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46303488).

38577966 is an abundant number, since it is smaller than the sum of its proper divisors (54029010).

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

38577966 is a wasteful number, since it uses less digits than its factorization.

38577966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617.

The product of its digits is 1905120, while the sum is 51.

The square root of 38577966 is about 6211.1163247841. The cubic root of 38577966 is about 337.8934517049.

The spelling of 38577966 in words is "thirty-eight million, five hundred seventy-seven thousand, nine hundred sixty-six".