3754705824 has 144 divisors (see below), whose sum is σ = 11286475200. Its totient is φ = 1180735488.

The previous prime is 3754705819. The next prime is 3754705837. The reversal of 3754705824 is 4285074573.

3754705824 is a `hidden beast` number, since 37 + 547 + 0 + 58 + 24 = 666.

3754705824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 3754705824.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1437832 + ... + 1440440.

It is an arithmetic number, because the mean of its divisors is an integer number (78378300).

Almost surely, 2^3754705824 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 3754705824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643237600).

3754705824 is an abundant number, since it is smaller than the sum of its proper divisors (7531769376).

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

3754705824 is a wasteful number, since it uses less digits than its factorization.

3754705824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The square root of 3754705824 is about 61275.6544151101. The cubic root of 3754705824 is about 1554.2658519639.

The spelling of 3754705824 in words is "three billion, seven hundred fifty-four million, seven hundred five thousand, eight hundred twenty-four".