3806429760 has 756 divisors, whose sum is σ = 16242491772. Its totient is φ = 846526464.

The previous prime is 3806429743. The next prime is 3806429773. The reversal of 3806429760 is 679246083.

It can be written as a sum of positive squares in 2 ways, for example, as 2489610816 + 1316818944 = 49896^2 + 36288^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 102876462 + ... + 102876498.

It is a vampire number, since it can be written as 60480 ⋅ 62937 (with its own digits).

Almost surely, 2^3806429760 is an apocalyptic number.

3806429760 is a gapful number since it is divisible by the number (30) 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 3806429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8121245886).

3806429760 is an abundant number, since it is smaller than the sum of its proper divisors (12436062012).

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

3806429760 is an frugal number, since it uses more digits than its factorization.

3806429760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3806429760 is about 61696.2702276240. The cubic root of 3806429760 is about 1561.3703934484.

The spelling of 3806429760 in words is "three billion, eight hundred six million, four hundred twenty-nine thousand, seven hundred sixty".