4029744 has 40 divisors (see below), whose sum is σ = 10696240. Its totient is φ = 1306368.

The previous prime is 4029709. The next prime is 4029757. The reversal of 4029744 is 4479204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 642 + ... + 2910.

It is an arithmetic number, because the mean of its divisors is an integer number (267406).

Almost surely, 2^4029744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4029744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348120).

4029744 is an abundant number, since it is smaller than the sum of its proper divisors (6666496).

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

4029744 is a wasteful number, since it uses less digits than its factorization.

4029744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4029744 is about 2007.4222276342. The cubic root of 4029744 is about 159.1325977477.

It can be divided in two parts, 4029 and 744, that multiplied together give a triangular number (2997576 = T₂₄₄₈).

The spelling of 4029744 in words is "four million, twenty-nine thousand, seven hundred forty-four".