3799584768 has 208 divisors, whose sum is σ = 11692292096. Its totient is φ = 1074954240.

The previous prime is 3799584757. The next prime is 3799584827. The reversal of 3799584768 is 8674859973.

It is a super-2 number, since 2×3799584768² = 28873688818435227648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3799584699 and 3799584708.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14020473 + ... + 14020743.

Almost surely, 2^3799584768 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 3799584768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846146048).

3799584768 is an abundant number, since it is smaller than the sum of its proper divisors (7892707328).

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

3799584768 is a wasteful number, since it uses less digits than its factorization.

3799584768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 446 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 66.

The square root of 3799584768 is about 61640.7719614218. The cubic root of 3799584768 is about 1560.4339095414.

The spelling of 3799584768 in words is "three billion, seven hundred ninety-nine million, five hundred eighty-four thousand, seven hundred sixty-eight".