3797808768 has 320 divisors, whose sum is σ = 12820869600. Its totient is φ = 1106307072.

The previous prime is 3797808739. The next prime is 3797808779. The reversal of 3797808768 is 8678087973.

3797808768 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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2560155 + ... + 2561637.

Almost surely, 2^3797808768 is an apocalyptic number.

3797808768 is a gapful number since it is divisible by the number (38) 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 3797808768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410434800).

3797808768 is an abundant number, since it is smaller than the sum of its proper divisors (9023060832).

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

3797808768 is a wasteful number, since it uses less digits than its factorization.

3797808768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The square root of 3797808768 is about 61626.3642283074. The cubic root of 3797808768 is about 1560.1907459067.

The spelling of 3797808768 in words is "three billion, seven hundred ninety-seven million, eight hundred eight thousand, seven hundred sixty-eight".