3806130240 has 336 divisors, whose sum is σ = 14364492480. Its totient is φ = 917360640.

The previous prime is 3806130203. The next prime is 3806130241. The reversal of 3806130240 is 420316083.

It is a happy number.

3806130240 is a `hidden beast` number, since 3 + 8 + 0 + 613 + 0 + 2 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (3806130241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10042371 + ... + 10042749.

Almost surely, 2^3806130240 is an apocalyptic number.

3806130240 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 3806130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7182246240).

3806130240 is an abundant number, since it is smaller than the sum of its proper divisors (10558362240).

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

3806130240 is a wasteful number, since it uses less digits than its factorization.

3806130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3806130240 is about 61693.8428046106. The cubic root of 3806130240 is about 1561.3294387169.

The spelling of 3806130240 in words is "three billion, eight hundred six million, one hundred thirty thousand, two hundred forty".