3870142848 has 512 divisors, whose sum is σ = 13818470400. Its totient is φ = 1050624000.

The previous prime is 3870142847. The next prime is 3870142853. The reversal of 3870142848 is 8482410783.

It is a super-2 number, since 2×3870142848² = 29956011327851102208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3870142847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20262433 + ... + 20262623.

It is an arithmetic number, because the mean of its divisors is an integer number (26989200).

Almost surely, 2^3870142848 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 3870142848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909235200).

3870142848 is an abundant number, since it is smaller than the sum of its proper divisors (9948327552).

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

3870142848 is a wasteful number, since it uses less digits than its factorization.

3870142848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 3870142848 is about 62210.4721730996. The cubic root of 3870142848 is about 1570.0337867153.

The spelling of 3870142848 in words is "three billion, eight hundred seventy million, one hundred forty-two thousand, eight hundred forty-eight".