3865240955520 has 1152 divisors, whose sum is σ = 16284217482000. Its totient is φ = 841203449856.

The previous prime is 3865240955437. The next prime is 3865240955539. The reversal of 3865240955520 is 255590425683.

3865240955520 is a `hidden beast` number, since 3 + 8 + 6 + 5 + 24 + 0 + 95 + 5 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 831875333184 + 3033365622336 = 912072^2 + 1741656^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 597498846 + ... + 597505314.

Almost surely, 2^{3865240955520} is an apocalyptic number.

3865240955520 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 3865240955520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8142108741000).

3865240955520 is an abundant number, since it is smaller than the sum of its proper divisors (12418976526480).

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

3865240955520 is a wasteful number, since it uses less digits than its factorization.

3865240955520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 3865240955520 in words is "three trillion, eight hundred sixty-five billion, two hundred forty million, nine hundred fifty-five thousand, five hundred twenty".