3806350852680 has 192 divisors, whose sum is σ = 12506617468800. Its totient is φ = 1003883950080.

The previous prime is 3806350852669. The next prime is 3806350852697. The reversal of 3806350852680 is 862580536083.

3806350852680 is a `hidden beast` number, since 3 + 8 + 0 + 6 + 3 + 508 + 52 + 6 + 80 = 666.

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, 52728051 + ... + 52800189.

It is an arithmetic number, because the mean of its divisors is an integer number (65138632650).

Almost surely, 2^{3806350852680} is an apocalyptic number.

3806350852680 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 3806350852680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6253308734400).

3806350852680 is an abundant number, since it is smaller than the sum of its proper divisors (8700266616120).

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

3806350852680 is a wasteful number, since it uses less digits than its factorization.

3806350852680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73764 (or 73757 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 3806350852680 in words is "three trillion, eight hundred six billion, three hundred fifty million, eight hundred fifty-two thousand, six hundred eighty".