3745843584 has 128 divisors (see below), whose sum is σ = 11738388480. Its totient is φ = 1035694080.

The previous prime is 3745843547. The next prime is 3745843589. The reversal of 3745843584 is 4853485473.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3745843589) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 60852 + ... + 105804.

It is an arithmetic number, because the mean of its divisors is an integer number (91706160).

Almost surely, 2^3745843584 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 3745843584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5869194240).

3745843584 is an abundant number, since it is smaller than the sum of its proper divisors (7992544896).

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

3745843584 is a wasteful number, since it uses less digits than its factorization.

3745843584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45008 (or 44996 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 51.

The square root of 3745843584 is about 61203.2971660841. The cubic root of 3745843584 is about 1553.0420429595.

The spelling of 3745843584 in words is "three billion, seven hundred forty-five million, eight hundred forty-three thousand, five hundred eighty-four".