3853915776 has 384 divisors, whose sum is σ = 12373171200. Its totient is φ = 1146322944.

The previous prime is 3853915739. The next prime is 3853915817. The reversal of 3853915776 is 6775193583.

3853915776 is a `hidden beast` number, since 38 + 5 + 39 + 1 + 577 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (4762800) is a multiple of the sum of its prime factors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48783705 + ... + 48783783.

It is an arithmetic number, because the mean of its divisors is an integer number (32221800).

Almost surely, 2^3853915776 is an apocalyptic number.

3853915776 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 3853915776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6186585600).

3853915776 is an abundant number, since it is smaller than the sum of its proper divisors (8519255424).

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

3853915776 is a wasteful number, since it uses less digits than its factorization.

3853915776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The square root of 3853915776 is about 62079.9144329307. The cubic root of 3853915776 is about 1567.8363878987.

The spelling of 3853915776 in words is "three billion, eight hundred fifty-three million, nine hundred fifteen thousand, seven hundred seventy-six".