3864465344520 has 144 divisors (see below), whose sum is σ = 13805083999980. Its totient is φ = 936840072960.

The previous prime is 3864465344513. The next prime is 3864465344557. The reversal of 3864465344520 is 254435644683.

3864465344520 is a `hidden beast` number, since 3 + 8 + 6 + 4 + 46 + 534 + 45 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3567769433316 + 296695911204 = 1888854^2 + 544698^2 .

It is a super-3 number, since 3×3864465344520³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44314399 + ... + 44401518.

Almost surely, 2^{3864465344520} is an apocalyptic number.

3864465344520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3864465344520 is an abundant number, since it is smaller than the sum of its proper divisors (9940618655460).

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

3864465344520 is a wasteful number, since it uses less digits than its factorization.

3864465344520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88715956 (or 88715938 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 3864465344520 in words is "three trillion, eight hundred sixty-four billion, four hundred sixty-five million, three hundred forty-four thousand, five hundred twenty".