3845746944 has 288 divisors, whose sum is σ = 12380426240. Its totient is φ = 1170505728.

The previous prime is 3845746907. The next prime is 3845746997. The reversal of 3845746944 is 4496475483.

3845746944 is a `hidden beast` number, since 3 + 8 + 4 + 574 + 69 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11411544 + ... + 11411880.

Almost surely, 2^3845746944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3845746944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190213120).

3845746944 is an abundant number, since it is smaller than the sum of its proper divisors (8534679296).

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

3845746944 is a wasteful number, since it uses less digits than its factorization.

3845746944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 482 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The square root of 3845746944 is about 62014.0866577909. The cubic root of 3845746944 is about 1566.7278658654.

The spelling of 3845746944 in words is "three billion, eight hundred forty-five million, seven hundred forty-six thousand, nine hundred forty-four".