3684980736 has 192 divisors, whose sum is σ = 11038809600. Its totient is φ = 1214521344.

The previous prime is 3684980723. The next prime is 3684980743. The reversal of 3684980736 is 6370894863.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3684980736² = 27158166049382203392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5695165 + ... + 5695811.

It is an arithmetic number, because the mean of its divisors is an integer number (57493800).

Almost surely, 2^3684980736 is an apocalyptic number.

3684980736 is a gapful number since it is divisible by the number (36) 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 3684980736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519404800).

3684980736 is an abundant number, since it is smaller than the sum of its proper divisors (7353828864).

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

3684980736 is a wasteful number, since it uses less digits than its factorization.

3684980736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3684980736 is about 60704.0421718356. The cubic root of 3684980736 is about 1544.5847427682.

The spelling of 3684980736 in words is "three billion, six hundred eighty-four million, nine hundred eighty thousand, seven hundred thirty-six".