3782657556 has 288 divisors, whose sum is σ = 11293551360. Its totient is φ = 1100335104.

The previous prime is 3782657537. The next prime is 3782657597. The reversal of 3782657556 is 6557562873.

3782657556 is a `hidden beast` number, since 3 + 7 + 82 + 6 + 5 + 7 + 556 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14061790 + ... + 14062058.

It is an arithmetic number, because the mean of its divisors is an integer number (39213720).

Almost surely, 2^3782657556 is an apocalyptic number.

3782657556 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 3782657556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646775680).

3782657556 is an abundant number, since it is smaller than the sum of its proper divisors (7510893804).

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

3782657556 is a wasteful number, since it uses less digits than its factorization.

3782657556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 351 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The square root of 3782657556 is about 61503.3133741590. The cubic root of 3782657556 is about 1558.1132070423.

The spelling of 3782657556 in words is "three billion, seven hundred eighty-two million, six hundred fifty-seven thousand, five hundred fifty-six".