3840103423296 has 672 divisors, whose sum is σ = 13584895034880. Its totient is φ = 1013741568000.

The previous prime is 3840103423249. The next prime is 3840103423327. The reversal of 3840103423296 is 6923243010483.

3840103423296 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 10 + 342 + 3 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263899221 + ... + 263913771.

Almost surely, 2^{3840103423296} is an apocalyptic number.

3840103423296 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 3840103423296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6792447517440).

3840103423296 is an abundant number, since it is smaller than the sum of its proper divisors (9744791611584).

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

3840103423296 is a wasteful number, since it uses less digits than its factorization.

3840103423296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14703 (or 14690 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 3840103423296 in words is "three trillion, eight hundred forty billion, one hundred three million, four hundred twenty-three thousand, two hundred ninety-six".