3797722656 has 432 divisors, whose sum is σ = 13719573504. Its totient is φ = 987614208.

The previous prime is 3797722651. The next prime is 3797722729. The reversal of 3797722656 is 6562277973.

3797722656 is a `hidden beast` number, since 379 + 7 + 7 + 2 + 265 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (6667920) is a multiple of the sum of its prime divisors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3797722651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23298831 + ... + 23298993.

It is an arithmetic number, because the mean of its divisors is an integer number (31758272).

Almost surely, 2^3797722656 is an apocalyptic number.

3797722656 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 3797722656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6859786752).

3797722656 is an abundant number, since it is smaller than the sum of its proper divisors (9921850848).

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

3797722656 is a wasteful number, since it uses less digits than its factorization.

3797722656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 315 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 54.

The square root of 3797722656 is about 61625.6655623288. The cubic root of 3797722656 is about 1560.1789538297.

The spelling of 3797722656 in words is "three billion, seven hundred ninety-seven million, seven hundred twenty-two thousand, six hundred fifty-six".