3738816256 has 288 divisors, whose sum is σ = 9663639552. Its totient is φ = 1406730240.

The previous prime is 3738816233. The next prime is 3738816299. The reversal of 3738816256 is 6526188373.

It is a super-2 number, since 2×3738816256² = 27957493992259715072, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 34942155 + ... + 34942261.

It is an arithmetic number, because the mean of its divisors is an integer number (33554304).

Almost surely, 2^3738816256 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 3738816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831819776).

3738816256 is an abundant number, since it is smaller than the sum of its proper divisors (5924823296).

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

3738816256 is a wasteful number, since it uses less digits than its factorization.

3738816256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The square root of 3738816256 is about 61145.8604976657. The cubic root of 3738816256 is about 1552.0702487068.

The spelling of 3738816256 in words is "three billion, seven hundred thirty-eight million, eight hundred sixteen thousand, two hundred fifty-six".