4033968 has 40 divisors (see below), whose sum is σ = 10761216. Its totient is φ = 1300800.

The previous prime is 4033961. The next prime is 4033979. The reversal of 4033968 is 8693304.

It is not an unprimeable number, because it can be changed into a prime (4033961) 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, 133 + ... + 2843.

Almost surely, 2^4033968 is an apocalyptic number.

4033968 is a gapful number since it is divisible by the number (48) 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 4033968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380608).

4033968 is an abundant number, since it is smaller than the sum of its proper divisors (6727248).

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

4033968 is a wasteful number, since it uses less digits than its factorization.

4033968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 4033968 is about 2008.4740476292. The cubic root of 4033968 is about 159.1881795555.

It can be divided in two parts, 403 and 3968, that added together give a triangular number (4371 = T₉₃).

The spelling of 4033968 in words is "four million, thirty-three thousand, nine hundred sixty-eight".