3845559600 has 180 divisors, whose sum is σ = 13381402216. Its totient is φ = 1022699520.

The previous prime is 3845559593. The next prime is 3845559631. The reversal of 3845559600 is 69555483.

3845559600 is a `hidden beast` number, since 3 + 8 + 4 + 55 + 596 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1557567 + ... + 1560033.

Almost surely, 2^3845559600 is an apocalyptic number.

3845559600 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 3845559600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6690701108).

3845559600 is an abundant number, since it is smaller than the sum of its proper divisors (9535842616).

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

3845559600 is a wasteful number, since it uses less digits than its factorization.

3845559600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 3845559600 is about 62012.5761438758. The cubic root of 3845559600 is about 1566.7024246152.

The spelling of 3845559600 in words is "three billion, eight hundred forty-five million, five hundred fifty-nine thousand, six hundred".