3848693760 has 144 divisors (see below), whose sum is σ = 13339200420. Its totient is φ = 1026293760.

The previous prime is 3848693743. The next prime is 3848693813. The reversal of 3848693760 is 673968483.

3848693760 is a `hidden beast` number, since 3 + 8 + 486 + 93 + 76 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3089581056 + 759112704 = 55584^2 + 27552^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3848693697 and 3848693706.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71280 + ... + 113040.

Almost surely, 2^3848693760 is an apocalyptic number.

3848693760 is a gapful number since it is divisible by the number (30) 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 3848693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6669600210).

3848693760 is an abundant number, since it is smaller than the sum of its proper divisors (9490506660).

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

3848693760 is a wasteful number, since it uses less digits than its factorization.

3848693760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41794 (or 41771 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3848693760 is about 62037.8413550955. The cubic root of 3848693760 is about 1567.1279337919.

The spelling of 3848693760 in words is "three billion, eight hundred forty-eight million, six hundred ninety-three thousand, seven hundred sixty".