38535966 has 64 divisors (see below), whose sum is σ = 98972160. Its totient is φ = 10886400.

The previous prime is 38535949. The next prime is 38535977. The reversal of 38535966 is 66953583.

38535966 is a `hidden beast` number, since 3 + 8 + 53 + 596 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36141 + ... + 37191.

It is an arithmetic number, because the mean of its divisors is an integer number (1546440).

Almost surely, 2^38535966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38535966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49486080).

38535966 is an abundant number, since it is smaller than the sum of its proper divisors (60436194).

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

38535966 is a wasteful number, since it uses less digits than its factorization.

38535966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1160 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 38535966 is about 6207.7343693170. The cubic root of 38535966 is about 337.7707851530.

The spelling of 38535966 in words is "thirty-eight million, five hundred thirty-five thousand, nine hundred sixty-six".