3845066400 has 864 divisors, whose sum is σ = 16846921728. Its totient is φ = 805939200.

The previous prime is 3845066371. The next prime is 3845066411. The reversal of 3845066400 is 46605483.

3845066400 is a `hidden beast` number, since 3 + 8 + 4 + 5 + 0 + 6 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35935147 + ... + 35935253.

It is an arithmetic number, because the mean of its divisors is an integer number (19498752).

Almost surely, 2^3845066400 is an apocalyptic number.

3845066400 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 3845066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8423460864).

3845066400 is an abundant number, since it is smaller than the sum of its proper divisors (13001855328).

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

3845066400 is a wasteful number, since it uses less digits than its factorization.

3845066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3845066400 is about 62008.5994036311. The cubic root of 3845066400 is about 1566.6354442749.

The spelling of 3845066400 in words is "three billion, eight hundred forty-five million, sixty-six thousand, four hundred".