3785007744 has 512 divisors, whose sum is σ = 13578240000. Its totient is φ = 1036385280.

The previous prime is 3785007731. The next prime is 3785007763. The reversal of 3785007744 is 4477005873.

3785007744 is a `hidden beast` number, since 3 + 78 + 500 + 7 + 74 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3785007744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36747597 + ... + 36747699.

It is an arithmetic number, because the mean of its divisors is an integer number (26520000).

Almost surely, 2^3785007744 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 3785007744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789120000).

3785007744 is an abundant number, since it is smaller than the sum of its proper divisors (9793232256).

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

3785007744 is a wasteful number, since it uses less digits than its factorization.

3785007744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 3785007744 is about 61522.4165975297. The cubic root of 3785007744 is about 1558.4358286200.

The spelling of 3785007744 in words is "three billion, seven hundred eighty-five million, seven thousand, seven hundred forty-four".