3783130260 has 432 divisors, whose sum is σ = 13845057408. Its totient is φ = 764951040.

The previous prime is 3783130259. The next prime is 3783130297. The reversal of 3783130260 is 620313873.

It is a super-3 number, since 3×3783130260³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36729369 + ... + 36729471.

It is an arithmetic number, because the mean of its divisors is an integer number (32048744).

Almost surely, 2^3783130260 is an apocalyptic number.

3783130260 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 3783130260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6922528704).

3783130260 is an abundant number, since it is smaller than the sum of its proper divisors (10061927148).

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

3783130260 is a wasteful number, since it uses less digits than its factorization.

3783130260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3783130260 is about 61507.1561690183. The cubic root of 3783130260 is about 1558.1781081210.

The spelling of 3783130260 in words is "three billion, seven hundred eighty-three million, one hundred thirty thousand, two hundred sixty".