4006938 has 32 divisors (see below), whose sum is σ = 8822016. Its totient is φ = 1205568.

The previous prime is 4006931. The next prime is 4006939. The reversal of 4006938 is 8396004.

It is not an unprimeable number, because it can be changed into a prime (4006931) 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, 3120 + ... + 4212.

It is an arithmetic number, because the mean of its divisors is an integer number (275688).

Almost surely, 2^4006938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4006938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411008).

4006938 is an abundant number, since it is smaller than the sum of its proper divisors (4815078).

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

4006938 is a wasteful number, since it uses less digits than its factorization.

4006938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4006938 is about 2001.7337485290. The cubic root of 4006938 is about 158.8318304223.

The spelling of 4006938 in words is "four million, six thousand, nine hundred thirty-eight".