3865413504960 has 336 divisors, whose sum is σ = 15421549218816. Its totient is φ = 870335870976.

The previous prime is 3865413504947. The next prime is 3865413505021. The reversal of 3865413504960 is 694053145683.

3865413504960 is a `hidden beast` number, since 3 + 8 + 6 + 5 + 41 + 3 + 504 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 3865413504897 and 3865413504906.

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, 80152 + ... + 2781591.

Almost surely, 2^{3865413504960} is an apocalyptic number.

3865413504960 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 3865413504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7710774609408).

3865413504960 is an abundant number, since it is smaller than the sum of its proper divisors (11556135713856).

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

3865413504960 is a wasteful number, since it uses less digits than its factorization.

3865413504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861840 (or 2861827 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 3865413504960 in words is "three trillion, eight hundred sixty-five billion, four hundred thirteen million, five hundred four thousand, nine hundred sixty".