38640966 has 128 divisors (see below), whose sum is σ = 105670656. Its totient is φ = 9123840.

The previous prime is 38640947. The next prime is 38640971. The reversal of 38640966 is 66904683.

38640966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 213396 + ... + 213576.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 2^38640966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38640966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835328).

38640966 is an abundant number, since it is smaller than the sum of its proper divisors (67029690).

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

38640966 is a wasteful number, since it uses less digits than its factorization.

38640966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246.

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 38640966 is about 6216.1858080337. The cubic root of 38640966 is about 338.0772847093.

The spelling of 38640966 in words is "thirty-eight million, six hundred forty thousand, nine hundred sixty-six".