3845570400 has 432 divisors, whose sum is σ = 15884170848. Its totient is φ = 857088000.

The previous prime is 3845570387. The next prime is 3845570401. The reversal of 3845570400 is 40755483.

3845570400 is a `hidden beast` number, since 3 + 8 + 45 + 570 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3845570401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2065470 + ... + 2067330.

It is an arithmetic number, because the mean of its divisors is an integer number (36768914).

Almost surely, 2^3845570400 is an apocalyptic number.

3845570400 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 3845570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7942085424).

3845570400 is an abundant number, since it is smaller than the sum of its proper divisors (12038600448).

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

3845570400 is a wasteful number, since it uses less digits than its factorization.

3845570400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 3845570400 is about 62012.6632229257. The cubic root of 3845570400 is about 1566.7038912739.

The spelling of 3845570400 in words is "three billion, eight hundred forty-five million, five hundred seventy thousand, four hundred".