3782617056 has 120 divisors (see below), whose sum is σ = 11277527184. Its totient is φ = 1243537920.

The previous prime is 3782617043. The next prime is 3782617063. The reversal of 3782617056 is 6507162873.

3782617056 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 19 ways as a sum of consecutive naturals, for example, 179221 + ... + 199211.

Almost surely, 2^3782617056 is an apocalyptic number.

3782617056 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 3782617056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5638763592).

3782617056 is an abundant number, since it is smaller than the sum of its proper divisors (7494910128).

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

3782617056 is a wasteful number, since it uses less digits than its factorization.

3782617056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20086 (or 20069 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3782617056 is about 61502.9841227237. The cubic root of 3782617056 is about 1558.1076462420.

The spelling of 3782617056 in words is "three billion, seven hundred eighty-two million, six hundred seventeen thousand, fifty-six".