3842568000 has 336 divisors, whose sum is σ = 13932749376. Its totient is φ = 1010764800.

The previous prime is 3842567903. The next prime is 3842568073. The reversal of 3842568000 is 8652483.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 5975679 + ... + 5976321.

It is an arithmetic number, because the mean of its divisors is an integer number (41466516).

Almost surely, 2^3842568000 is an apocalyptic number.

3842568000 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 3842568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6966374688).

3842568000 is an abundant number, since it is smaller than the sum of its proper divisors (10090181376).

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

3842568000 is a wasteful number, since it uses less digits than its factorization.

3842568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3842568000 is about 61988.4505371767. The cubic root of 3842568000 is about 1566.2960543797.

The spelling of 3842568000 in words is "three billion, eight hundred forty-two million, five hundred sixty-eight thousand".