3865915560 has 384 divisors, whose sum is σ = 13492224000. Its totient is φ = 883104768.

The previous prime is 3865915429. The next prime is 3865915591. The reversal of 3865915560 is 655195683.

It is a happy number.

It is a super-3 number, since 3×3865915560³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30440217 + ... + 30440343.

It is an arithmetic number, because the mean of its divisors is an integer number (35136000).

Almost surely, 2^3865915560 is an apocalyptic number.

3865915560 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 3865915560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6746112000).

3865915560 is an abundant number, since it is smaller than the sum of its proper divisors (9626308440).

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

3865915560 is a wasteful number, since it uses less digits than its factorization.

3865915560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The square root of 3865915560 is about 62176.4871957238. The cubic root of 3865915560 is about 1569.4619384915.

The spelling of 3865915560 in words is "three billion, eight hundred sixty-five million, nine hundred fifteen thousand, five hundred sixty".