3682956960 has 288 divisors, whose sum is σ = 13310256960. Its totient is φ = 924770304.

The previous prime is 3682956931. The next prime is 3682956973. The reversal of 3682956960 is 696592863.

3682956960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3682956897 and 3682956906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6210424 + ... + 6211016.

It is an arithmetic number, because the mean of its divisors is an integer number (46216170).

Almost surely, 2^3682956960 is an apocalyptic number.

3682956960 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 3682956960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655128480).

3682956960 is an abundant number, since it is smaller than the sum of its proper divisors (9627300000).

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

3682956960 is a wasteful number, since it uses less digits than its factorization.

3682956960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 3682956960 is about 60687.3706795739. The cubic root of 3682956960 is about 1544.3019311632.

The spelling of 3682956960 in words is "three billion, six hundred eighty-two million, nine hundred fifty-six thousand, nine hundred sixty".