3858073728 has 256 divisors, whose sum is σ = 11433139200. Its totient is φ = 1147170816.

The previous prime is 3858073699. The next prime is 3858073741. The reversal of 3858073728 is 8273708583.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13927926 + ... + 13928202.

It is an arithmetic number, because the mean of its divisors is an integer number (44660700).

Almost surely, 2^3858073728 is an apocalyptic number.

3858073728 is a gapful number since it is divisible by the number (38) 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 3858073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5716569600).

3858073728 is an abundant number, since it is smaller than the sum of its proper divisors (7575065472).

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

3858073728 is a wasteful number, since it uses less digits than its factorization.

3858073728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The square root of 3858073728 is about 62113.3941110933. The cubic root of 3858073728 is about 1568.4000263558.

The spelling of 3858073728 in words is "three billion, eight hundred fifty-eight million, seventy-three thousand, seven hundred twenty-eight".