3865218094080 has 1584 divisors, whose sum is σ = 16675947499536. Its totient is φ = 822450585600.

The previous prime is 3865218094051. The next prime is 3865218094081. The reversal of 3865218094080 is 804908125683.

3865218094080 is a `hidden beast` number, since 3 + 8 + 6 + 52 + 180 + 9 + 408 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1130190114816 + 2735027979264 = 1063104^2 + 1653792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3865218094081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3876848142 + ... + 3876849138.

Almost surely, 2^{3865218094080} is an apocalyptic number.

3865218094080 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 3865218094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8337973749768).

3865218094080 is an abundant number, since it is smaller than the sum of its proper divisors (12810729405456).

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

3865218094080 is a wasteful number, since it uses less digits than its factorization.

3865218094080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 3865218094080 in words is "three trillion, eight hundred sixty-five billion, two hundred eighteen million, ninety-four thousand, eighty".