3926016 has 96 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 1290240.

The previous prime is 3925993. The next prime is 3926017. The reversal of 3926016 is 6106293.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3926017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55261 + ... + 55331.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

Almost surely, 2^3926016 is an apocalyptic number.

3926016 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 3926016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

3926016 is an abundant number, since it is smaller than the sum of its proper divisors (7867584).

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

3926016 is an equidigital number, since it uses as much as digits as its factorization.

3926016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3926016 is about 1981.4176742928. The cubic root of 3926016 is about 157.7553228346.

The spelling of 3926016 in words is "three million, nine hundred twenty-six thousand, sixteen".