3686322240 has 672 divisors, whose sum is σ = 14549932800. Its totient is φ = 851558400.

The previous prime is 3686322223. The next prime is 3686322271. The reversal of 3686322240 is 422236863.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3686322195 and 3686322204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36498190 + ... + 36498290.

Almost surely, 2^3686322240 is an apocalyptic number.

3686322240 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 3686322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7274966400).

3686322240 is an abundant number, since it is smaller than the sum of its proper divisors (10863610560).

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

3686322240 is a wasteful number, since it uses less digits than its factorization.

3686322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3686322240 is about 60715.0907106298. The cubic root of 3686322240 is about 1544.7721535371.

The spelling of 3686322240 in words is "three billion, six hundred eighty-six million, three hundred twenty-two thousand, two hundred forty".