3844824290496 has 896 divisors, whose sum is σ = 14167949312000. Its totient is φ = 997691904000.

The previous prime is 3844824290467. The next prime is 3844824290497. The reversal of 3844824290496 is 6940924284483.

3844824290496 is a `hidden beast` number, since 3 + 8 + 44 + 82 + 4 + 29 + 0 + 496 = 666.

3844824290496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3844824290497) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 776572821 + ... + 776577771.

Almost surely, 2^{3844824290496} is an apocalyptic number.

3844824290496 is a gapful number since it is divisible by the number (36) 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 3844824290496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7083974656000).

3844824290496 is an abundant number, since it is smaller than the sum of its proper divisors (10323125021504).

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

3844824290496 is a wasteful number, since it uses less digits than its factorization.

3844824290496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 3844824290496 in words is "three trillion, eight hundred forty-four billion, eight hundred twenty-four million, two hundred ninety thousand, four hundred ninety-six".