3686921280 has 224 divisors, whose sum is σ = 14864974080. Its totient is φ = 842711040.

The previous prime is 3686921279. The next prime is 3686921281. The reversal of 3686921280 is 821296863.

3686921280 is a `hidden beast` number, since 368 + 6 + 9 + 2 + 1 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (3686921279) and next prime (3686921281).

It is a tau number, because it is divible by the number of its divisors (224).

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 (3686921281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30000 + ... + 90960.

Almost surely, 2^3686921280 is an apocalyptic number.

3686921280 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 3686921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7432487040).

3686921280 is an abundant number, since it is smaller than the sum of its proper divisors (11178052800).

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

3686921280 is a wasteful number, since it uses less digits than its factorization.

3686921280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60994 (or 60978 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3686921280 is about 60720.0237154104. The cubic root of 3686921280 is about 1544.8558259282.

The spelling of 3686921280 in words is "three billion, six hundred eighty-six million, nine hundred twenty-one thousand, two hundred eighty".