3848078569104 has 675 divisors, whose sum is σ = 13851961279065. Its totient is φ = 994322165760.

The previous prime is 3848078568989. The next prime is 3848078569109. The reversal of 3848078569104 is 4019658708483.

The square root of 3848078569104 is 1961652.

It is a perfect power (a square), and thus also a powerful number.

3848078569104 is a `hidden beast` number, since 3 + 8 + 480 + 7 + 85 + 69 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 932344736400 + 2915733832704 = 965580^2 + 1707552^2 .

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 (3848078569109) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 19938230832 + ... + 19938231024.

Almost surely, 2^{3848078569104} is an apocalyptic number.

3848078569104 is the 1961652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3848078569104

3848078569104 is an abundant number, since it is smaller than the sum of its proper divisors (10003882709961).

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

3848078569104 is an equidigital number, since it uses as much as digits as its factorization.

3848078569104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 3848078569104 in words is "three trillion, eight hundred forty-eight billion, seventy-eight million, five hundred sixty-nine thousand, one hundred four".