3924285648408 has 192 divisors, whose sum is σ = 11083389408000. Its totient is φ = 1300813229952.

The previous prime is 3924285648407. The next prime is 3924285648419. The reversal of 3924285648408 is 8048465824293.

3924285648408 is a `hidden beast` number, since 3 + 9 + 2 + 4 + 28 + 564 + 8 + 40 + 8 = 666.

3924285648408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3924285648407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403769773 + ... + 403779491.

It is an arithmetic number, because the mean of its divisors is an integer number (57725986500).

Almost surely, 2^{3924285648408} 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 3924285648408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541694704000).

3924285648408 is an abundant number, since it is smaller than the sum of its proper divisors (7159103759592).

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

3924285648408 is a wasteful number, since it uses less digits than its factorization.

3924285648408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10876 (or 10860 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 3924285648408 in words is "three trillion, nine hundred twenty-four billion, two hundred eighty-five million, six hundred forty-eight thousand, four hundred eight".