3680084352 has 128 divisors (see below), whose sum is σ = 11193235200. Its totient is φ = 1049425920.

The previous prime is 3680084347. The next prime is 3680084377. The reversal of 3680084352 is 2534800863.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3680084352.

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, 1904827 + ... + 1906757.

It is an arithmetic number, because the mean of its divisors is an integer number (87447150).

Almost surely, 2^3680084352 is an apocalyptic number.

3680084352 is a gapful number since it is divisible by the number (32) 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 3680084352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5596617600).

3680084352 is an abundant number, since it is smaller than the sum of its proper divisors (7513150848).

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

3680084352 is a wasteful number, since it uses less digits than its factorization.

3680084352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 3680084352 is about 60663.6987991995. The cubic root of 3680084352 is about 1543.9003219855.

The spelling of 3680084352 in words is "three billion, six hundred eighty million, eighty-four thousand, three hundred fifty-two".