3684356760 has 128 divisors (see below), whose sum is σ = 12940300800. Its totient is φ = 821591040.

The previous prime is 3684356749. The next prime is 3684356761. The reversal of 3684356760 is 676534863.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3684356761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19050 + ... + 87929.

It is an arithmetic number, because the mean of its divisors is an integer number (101096100).

Almost surely, 2^3684356760 is an apocalyptic number.

3684356760 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 3684356760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6470150400).

3684356760 is an abundant number, since it is smaller than the sum of its proper divisors (9255944040).

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

3684356760 is a wasteful number, since it uses less digits than its factorization.

3684356760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107041 (or 107037 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The square root of 3684356760 is about 60698.9024612472. The cubic root of 3684356760 is about 1544.4975565853.

The spelling of 3684356760 in words is "three billion, six hundred eighty-four million, three hundred fifty-six thousand, seven hundred sixty".