3793873460 has 96 divisors (see below), whose sum is σ = 9105626880. Its totient is φ = 1317076992.

The previous prime is 3793873453. The next prime is 3793873463. The reversal of 3793873460 is 643783973.

It is a junction number, because it is equal to n+sod(n) for n = 3793873399 and 3793873408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3793873463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347444 + ... + 358196.

It is an arithmetic number, because the mean of its divisors is an integer number (94850280).

Almost surely, 2^3793873460 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 3793873460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4552813440).

3793873460 is an abundant number, since it is smaller than the sum of its proper divisors (5311753420).

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

3793873460 is a wasteful number, since it uses less digits than its factorization.

3793873460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10857 (or 10855 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 50.

The square root of 3793873460 is about 61594.4271829847. The cubic root of 3793873460 is about 1559.6516672407.

The spelling of 3793873460 in words is "three billion, seven hundred ninety-three million, eight hundred seventy-three thousand, four hundred sixty".