3782434656 has 288 divisors, whose sum is σ = 13571566848. Its totient is φ = 906716160.

The previous prime is 3782434639. The next prime is 3782434697. The reversal of 3782434656 is 6564342873.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669861 + ... + 675483.

It is an arithmetic number, because the mean of its divisors is an integer number (47123496).

Almost surely, 2^3782434656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3782434656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785783424).

3782434656 is an abundant number, since it is smaller than the sum of its proper divisors (9789132192).

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

3782434656 is a wasteful number, since it uses less digits than its factorization.

3782434656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674 (or 5659 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 48.

The square root of 3782434656 is about 61501.5012499695. The cubic root of 3782434656 is about 1558.0826015531.

The spelling of 3782434656 in words is "three billion, seven hundred eighty-two million, four hundred thirty-four thousand, six hundred fifty-six".