3812186560 has 448 divisors, whose sum is σ = 11929042944. Its totient is φ = 1128038400.

The previous prime is 3812186557. The next prime is 3812186579. The reversal of 3812186560 is 656812183.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37011469 + ... + 37011571.

It is an arithmetic number, because the mean of its divisors is an integer number (26627328).

Almost surely, 2^3812186560 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 3812186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5964521472).

3812186560 is an abundant number, since it is smaller than the sum of its proper divisors (8116856384).

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

3812186560 is a wasteful number, since it uses less digits than its factorization.

3812186560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 3812186560 is about 61742.9069610429. The cubic root of 3812186560 is about 1562.1571297591.

The spelling of 3812186560 in words is "three billion, eight hundred twelve million, one hundred eighty-six thousand, five hundred sixty".