3824825340 has 144 divisors (see below), whose sum is σ = 12554365824. Its totient is φ = 867484800.

The previous prime is 3824825311. The next prime is 3824825351. The reversal of 3824825340 is 435284283.

It is a super-2 number, since 2×3824825340² = 29258577763012231200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380175 + ... + 390105.

It is an arithmetic number, because the mean of its divisors is an integer number (87183096).

Almost surely, 2^3824825340 is an apocalyptic number.

3824825340 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 3824825340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6277182912).

3824825340 is an abundant number, since it is smaller than the sum of its proper divisors (8729540484).

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

3824825340 is a wasteful number, since it uses less digits than its factorization.

3824825340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10088 (or 10079 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 3824825340 is about 61845.1723257361. The cubic root of 3824825340 is about 1563.8815977547.

The spelling of 3824825340 in words is "three billion, eight hundred twenty-four million, eight hundred twenty-five thousand, three hundred forty".