3928041000 has 768 divisors, whose sum is σ = 15976396800. Its totient is φ = 886464000.

The previous prime is 3928040999. The next prime is 3928041001. The reversal of 3928041000 is 1408293.

It is an interprime number because it is at equal distance from previous prime (3928040999) and next prime (3928041001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3928041001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126710985 + ... + 126711015.

It is an arithmetic number, because the mean of its divisors is an integer number (20802600).

Almost surely, 2^3928041000 is an apocalyptic number.

3928041000 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 3928041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988198400).

3928041000 is an abundant number, since it is smaller than the sum of its proper divisors (12048355800).

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

3928041000 is a wasteful number, since it uses less digits than its factorization.

3928041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3928041000 is about 62674.0855537598. The cubic root of 3928041000 is about 1577.8244104815.

Adding to 3928041000 its reverse (1408293), we get a palindrome (3929449293).

The spelling of 3928041000 in words is "three billion, nine hundred twenty-eight million, forty-one thousand".