3671683020720 has 960 divisors, whose sum is σ = 15396009842304. Its totient is φ = 770410414080.

The previous prime is 3671683020701. The next prime is 3671683020721. The reversal of 3671683020720 is 270203861763.

3671683020720 is a `hidden beast` number, since 367 + 1 + 6 + 83 + 0 + 207 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3671683020721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 484834854 + ... + 484842426.

Almost surely, 2^{3671683020720} is an apocalyptic number.

3671683020720 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 3671683020720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7698004921152).

3671683020720 is an abundant number, since it is smaller than the sum of its proper divisors (11724326821584).

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

3671683020720 is a wasteful number, since it uses less digits than its factorization.

3671683020720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7910 (or 7901 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 3671683020720 in words is "three trillion, six hundred seventy-one billion, six hundred eighty-three million, twenty thousand, seven hundred twenty".