3775744000 has 384 divisors, whose sum is σ = 11243232000. Its totient is φ = 1264435200.

The previous prime is 3775743947. The next prime is 3775744031. The reversal of 3775744000 is 4475773.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87807979 + ... + 87808021.

It is an arithmetic number, because the mean of its divisors is an integer number (29279250).

Almost surely, 2^3775744000 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 3775744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621616000).

3775744000 is an abundant number, since it is smaller than the sum of its proper divisors (7467488000).

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

3775744000 is an frugal number, since it uses more digits than its factorization.

3775744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 37.

The square root of 3775744000 is about 61447.0829250665. The cubic root of 3775744000 is about 1557.1633746259.

The spelling of 3775744000 in words is "three billion, seven hundred seventy-five million, seven hundred forty-four thousand".