3845698560 has 528 divisors, whose sum is σ = 15128672832. Its totient is φ = 928972800.

The previous prime is 3845698517. The next prime is 3845698573. The reversal of 3845698560 is 658965483.

It is a happy number.

3845698560 is a `hidden beast` number, since 38 + 45 + 6 + 9 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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 = 3845698497 and 3845698506.

It is a congruent number.

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, 13685620 + ... + 13685900.

Almost surely, 2^3845698560 is an apocalyptic number.

3845698560 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 3845698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7564336416).

3845698560 is an abundant number, since it is smaller than the sum of its proper divisors (11282974272).

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

3845698560 is a wasteful number, since it uses less digits than its factorization.

3845698560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 3845698560 is about 62013.6965516490. The cubic root of 3845698560 is about 1566.7212954142.

It can be divided in two parts, 384569 and 8560, that added together give a square (393129 = 627²).

The spelling of 3845698560 in words is "three billion, eight hundred forty-five million, six hundred ninety-eight thousand, five hundred sixty".