3686354280 has 384 divisors, whose sum is σ = 14651280000. Its totient is φ = 821560320.

The previous prime is 3686354251. The next prime is 3686354297. The reversal of 3686354280 is 824536863.

It is a happy number.

3686354280 is a `hidden beast` number, since 3 + 6 + 8 + 635 + 4 + 2 + 8 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2168871 + ... + 2170569.

It is an arithmetic number, because the mean of its divisors is an integer number (38154375).

Almost surely, 2^3686354280 is an apocalyptic number.

3686354280 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 3686354280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325640000).

3686354280 is an abundant number, since it is smaller than the sum of its proper divisors (10964925720).

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

3686354280 is a wasteful number, since it uses less digits than its factorization.

3686354280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3686354280 is about 60715.3545653816. The cubic root of 3686354280 is about 1544.7766290326.

The spelling of 3686354280 in words is "three billion, six hundred eighty-six million, three hundred fifty-four thousand, two hundred eighty".