3684713760 has 864 divisors, whose sum is σ = 16402538880. Its totient is φ = 769886208.

The previous prime is 3684713759. The next prime is 3684713771. The reversal of 3684713760 is 673174863.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35773869 + ... + 35773971.

It is an arithmetic number, because the mean of its divisors is an integer number (18984420).

Almost surely, 2^3684713760 is an apocalyptic number.

3684713760 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 3684713760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8201269440).

3684713760 is an abundant number, since it is smaller than the sum of its proper divisors (12717825120).

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

3684713760 is a wasteful number, since it uses less digits than its factorization.

3684713760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 133 counting only the distinct ones).

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

The square root of 3684713760 is about 60701.8431351141. The cubic root of 3684713760 is about 1544.5474402652.

The spelling of 3684713760 in words is "three billion, six hundred eighty-four million, seven hundred thirteen thousand, seven hundred sixty".