3857068800 has 864 divisors, whose sum is σ = 16287082560. Its totient is φ = 884736000.

The previous prime is 3857068793. The next prime is 3857068801. The reversal of 3857068800 is 88607583.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (3857068801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38188750 + ... + 38188850.

It is an arithmetic number, because the mean of its divisors is an integer number (18850790).

Almost surely, 2^3857068800 is an apocalyptic number.

3857068800 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 3857068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8143541280).

3857068800 is an abundant number, since it is smaller than the sum of its proper divisors (12430013760).

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

3857068800 is a wasteful number, since it uses less digits than its factorization.

3857068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 3857068800 is about 62105.3041213067. The cubic root of 3857068800 is about 1568.2638387071.

The spelling of 3857068800 in words is "three billion, eight hundred fifty-seven million, sixty-eight thousand, eight hundred".