3782523360 has 384 divisors, whose sum is σ = 15371596800. Its totient is φ = 758661120.

The previous prime is 3782523359. The next prime is 3782523377. The reversal of 3782523360 is 633252873.

3782523360 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1070076 + ... + 1073604.

It is an arithmetic number, because the mean of its divisors is an integer number (40030200).

Almost surely, 2^3782523360 is an apocalyptic number.

3782523360 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 3782523360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7685798400).

3782523360 is an abundant number, since it is smaller than the sum of its proper divisors (11589073440).

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

3782523360 is a wasteful number, since it uses less digits than its factorization.

3782523360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 3782523360 is about 61502.2223988695. Note that the first 3 decimals coincide. The cubic root of 3782523360 is about 1558.0947812813.

The spelling of 3782523360 in words is "three billion, seven hundred eighty-two million, five hundred twenty-three thousand, three hundred sixty".