3685830210720 has 576 divisors, whose sum is σ = 14659980701184. Its totient is φ = 825788620800.

The previous prime is 3685830210709. The next prime is 3685830210767. The reversal of 3685830210720 is 270120385863.

3685830210720 is a `hidden beast` number, since 3 + 68 + 583 + 0 + 2 + 1 + 0 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 695043589 + ... + 695048891.

It is an arithmetic number, because the mean of its divisors is an integer number (25451355384).

Almost surely, 2^{3685830210720} is an apocalyptic number.

3685830210720 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 3685830210720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7329990350592).

3685830210720 is an abundant number, since it is smaller than the sum of its proper divisors (10974150490464).

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

3685830210720 is a wasteful number, since it uses less digits than its factorization.

3685830210720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6685 (or 6674 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 3685830210720 in words is "three trillion, six hundred eighty-five billion, eight hundred thirty million, two hundred ten thousand, seven hundred twenty".