4034016 has 192 divisors, whose sum is σ = 14515200. Its totient is φ = 1064448.

The previous prime is 4034011. The next prime is 4034021. The reversal of 4034016 is 6104304.

It is an interprime number because it is at equal distance from previous prime (4034011) and next prime (4034021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 4034016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139090 + ... + 139118.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

Almost surely, 2^4034016 is an apocalyptic number.

4034016 is a gapful number since it is divisible by the number (46) 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 4034016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

4034016 is an abundant number, since it is smaller than the sum of its proper divisors (10481184).

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

4034016 is a wasteful number, since it uses less digits than its factorization.

4034016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4034016 is about 2008.4859969639. The cubic root of 4034016 is about 159.1888109440.

Adding to 4034016 its product of nonzero digits (288), we get a palindrome (4034304).

The spelling of 4034016 in words is "four million, thirty-four thousand, sixteen".