3842871840 has 288 divisors, whose sum is σ = 13439986560. Its totient is φ = 999641088.

The previous prime is 3842871833. The next prime is 3842871881. The reversal of 3842871840 is 481782483.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14611549 + ... + 14611811.

It is an arithmetic number, because the mean of its divisors is an integer number (46666620).

Almost surely, 2^3842871840 is an apocalyptic number.

3842871840 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 3842871840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6719993280).

3842871840 is an abundant number, since it is smaller than the sum of its proper divisors (9597114720).

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

3842871840 is a wasteful number, since it uses less digits than its factorization.

3842871840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

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

The square root of 3842871840 is about 61990.9012678474. The cubic root of 3842871840 is about 1566.3373367417.

The spelling of 3842871840 in words is "three billion, eight hundred forty-two million, eight hundred seventy-one thousand, eight hundred forty".