3853877760 has 120 divisors (see below), whose sum is σ = 13347142380. Its totient is φ = 1027694592.

The previous prime is 3853877759. The next prime is 3853877761. The reversal of 3853877760 is 677783583.

3853877760 is a `hidden beast` number, since 38 + 538 + 7 + 7 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3853877759) and next prime (3853877761).

It can be written as a sum of positive squares in 2 ways, for example, as 3851940096 + 1937664 = 62064^2 + 1392^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 3853877697 and 3853877706.

It is not an unprimeable number, because it can be changed into a prime (3853877761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60595 + ... + 106674.

Almost surely, 2^3853877760 is an apocalyptic number.

3853877760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3853877760 is an abundant number, since it is smaller than the sum of its proper divisors (9493264620).

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

3853877760 is a wasteful number, since it uses less digits than its factorization.

3853877760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167298 (or 167279 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The square root of 3853877760 is about 62079.6082461866. The cubic root of 3853877760 is about 1567.8312327035.

The spelling of 3853877760 in words is "three billion, eight hundred fifty-three million, eight hundred seventy-seven thousand, seven hundred sixty".