3865509895104 has 2016 divisors, whose sum is σ = 14813315112960. Its totient is φ = 986942361600.

The previous prime is 3865509895081. The next prime is 3865509895127. The reversal of 3865509895104 is 4015989055683.

3865509895104 is a `hidden beast` number, since 3 + 8 + 65 + 50 + 9 + 8 + 9 + 510 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3865509895081) and next prime (3865509895127).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17028677839 + ... + 17028678065.

It is an arithmetic number, because the mean of its divisors is an integer number (7347874560).

Almost surely, 2^{3865509895104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3865509895104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7406657556480).

3865509895104 is an abundant number, since it is smaller than the sum of its proper divisors (10947805217856).

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

3865509895104 is a wasteful number, since it uses less digits than its factorization.

3865509895104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 3865509895104 in words is "three trillion, eight hundred sixty-five billion, five hundred nine million, eight hundred ninety-five thousand, one hundred four".