3842405963748 has 216 divisors, whose sum is σ = 11068192725408. Its totient is φ = 1122275616000.

The previous prime is 3842405963699. The next prime is 3842405963807. The reversal of 3842405963748 is 8473695042483.

3842405963748 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 4 + 0 + 596 + 37 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14693863 + ... + 14953073.

It is an arithmetic number, because the mean of its divisors is an integer number (51241632988).

Almost surely, 2^{3842405963748} 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 3842405963748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534096362704).

3842405963748 is an abundant number, since it is smaller than the sum of its proper divisors (7225786761660).

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

3842405963748 is a wasteful number, since it uses less digits than its factorization.

3842405963748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259367 (or 259351 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 3842405963748 in words is "three trillion, eight hundred forty-two billion, four hundred five million, nine hundred sixty-three thousand, seven hundred forty-eight".