3680357760 has 192 divisors, whose sum is σ = 13378014000. Its totient is φ = 929746944.

The previous prime is 3680357749. The next prime is 3680357777. The reversal of 3680357760 is 677530863.

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

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92626 + ... + 126254.

Almost surely, 2^3680357760 is an apocalyptic number.

3680357760 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 3680357760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6689007000).

3680357760 is an abundant number, since it is smaller than the sum of its proper divisors (9697656240).

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

3680357760 is a wasteful number, since it uses less digits than its factorization.

3680357760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33673 (or 33658 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3680357760 is about 60665.9522302255. The cubic root of 3680357760 is about 1543.9385551894.

The spelling of 3680357760 in words is "three billion, six hundred eighty million, three hundred fifty-seven thousand, seven hundred sixty".