4349793006 has 96 divisors (see below), whose sum is σ = 10705443840. Its totient is φ = 1265378112.

The previous prime is 4349792981. The next prime is 4349793013. The reversal of 4349793006 is 6003979434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3943051 + ... + 3944153.

It is an arithmetic number, because the mean of its divisors is an integer number (111515040).

Almost surely, 2^4349793006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4349793006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352721920).

4349793006 is an abundant number, since it is smaller than the sum of its proper divisors (6355650834).

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

4349793006 is a wasteful number, since it uses less digits than its factorization.

4349793006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 4349793006 is about 65952.9605552321. The cubic root of 4349793006 is about 1632.3860079392.

It can be divided in two parts, 43497 and 93006, that added together give a triangular number (136503 = T₅₂₂).

The spelling of 4349793006 in words is "four billion, three hundred forty-nine million, seven hundred ninety-three thousand, six".