3822030240 has 192 divisors, whose sum is σ = 13914996480. Its totient is φ = 863723520.

The previous prime is 3822030229. The next prime is 3822030257. The reversal of 3822030240 is 420302283.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3822030240.

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 31 ways as a sum of consecutive naturals, for example, 292650 + ... + 305430.

It is an arithmetic number, because the mean of its divisors is an integer number (72473940).

Almost surely, 2^3822030240 is an apocalyptic number.

3822030240 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 3822030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6957498240).

3822030240 is an abundant number, since it is smaller than the sum of its proper divisors (10092966240).

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

3822030240 is a wasteful number, since it uses less digits than its factorization.

3822030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12895 (or 12887 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3822030240 is about 61822.5706356505. The cubic root of 3822030240 is about 1563.5005545878.

The spelling of 3822030240 in words is "three billion, eight hundred twenty-two million, thirty thousand, two hundred forty".