3870306048 has 288 divisors, whose sum is σ = 12437462016. Its totient is φ = 1044578304.

The previous prime is 3870306047. The next prime is 3870306049. The reversal of 3870306048 is 8406030783.

It is an interprime number because it is at equal distance from previous prime (3870306047) and next prime (3870306049).

It is a junction number, because it is equal to n+sod(n) for n = 3870305997 and 3870306015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3870306047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13972086 + ... + 13972362.

It is an arithmetic number, because the mean of its divisors is an integer number (43185632).

Almost surely, 2^3870306048 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 3870306048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6218731008).

3870306048 is an abundant number, since it is smaller than the sum of its proper divisors (8567155968).

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

3870306048 is a wasteful number, since it uses less digits than its factorization.

3870306048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 3870306048 is about 62211.7838355404. The cubic root of 3870306048 is about 1570.0558553160.

The spelling of 3870306048 in words is "three billion, eight hundred seventy million, three hundred six thousand, forty-eight".