3923136 has 126 divisors (see below), whose sum is σ = 13174980. Its totient is φ = 1112832.

The previous prime is 3923099. The next prime is 3923159. The reversal of 3923136 is 6313293.

It is a tau number, because it is divible by the number of its divisors (126).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28155 + ... + 28293.

Almost surely, 2^3923136 is an apocalyptic number.

3923136 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 3923136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587490).

3923136 is an abundant number, since it is smaller than the sum of its proper divisors (9251844).

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

3923136 is a wasteful number, since it uses less digits than its factorization.

3923136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 151 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 3923136 is about 1980.6907885887. The cubic root of 3923136 is about 157.7167386422.

The spelling of 3923136 in words is "three million, nine hundred twenty-three thousand, one hundred thirty-six".