3853798560 has 240 divisors, whose sum is σ = 13737499776. Its totient is φ = 1017349632.

The previous prime is 3853798549. The next prime is 3853798591. The reversal of 3853798560 is 658973583.

It is a happy number.

3853798560 is a `hidden beast` number, since 3 + 8 + 5 + 3 + 79 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3853798497 and 3853798506.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1333437 + ... + 1336323.

Almost surely, 2^3853798560 is an apocalyptic number.

3853798560 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 3853798560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868749888).

3853798560 is an abundant number, since it is smaller than the sum of its proper divisors (9883701216).

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

3853798560 is a wasteful number, since it uses less digits than its factorization.

3853798560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 3853798560 is about 62078.9703522860. The cubic root of 3853798560 is about 1567.8204926047.

The spelling of 3853798560 in words is "three billion, eight hundred fifty-three million, seven hundred ninety-eight thousand, five hundred sixty".