3824260440 has 768 divisors, whose sum is σ = 16190668800. Its totient is φ = 700876800.

The previous prime is 3824260423. The next prime is 3824260477. The reversal of 3824260440 is 440624283.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48408321 + ... + 48408399.

It is an arithmetic number, because the mean of its divisors is an integer number (21081600).

Almost surely, 2^3824260440 is an apocalyptic number.

3824260440 is a gapful number since it is divisible by the number (30) 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 3824260440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8095334400).

3824260440 is an abundant number, since it is smaller than the sum of its proper divisors (12366408360).

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

3824260440 is a wasteful number, since it uses less digits than its factorization.

3824260440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 3824260440 is about 61840.6051070007. The cubic root of 3824260440 is about 1563.8046024994.

The spelling of 3824260440 in words is "three billion, eight hundred twenty-four million, two hundred sixty thousand, four hundred forty".