3749604768 has 288 divisors, whose sum is σ = 13215436416. Its totient is φ = 982001664.

The previous prime is 3749604737. The next prime is 3749604811. The reversal of 3749604768 is 8674069473.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4533571 + ... + 4534397.

It is an arithmetic number, because the mean of its divisors is an integer number (45886932).

Almost surely, 2^3749604768 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 3749604768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6607718208).

3749604768 is an abundant number, since it is smaller than the sum of its proper divisors (9465831648).

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

3749604768 is a wasteful number, since it uses less digits than its factorization.

3749604768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 3749604768 is about 61234.0164287792. The cubic root of 3749604768 is about 1553.5616698274.

The spelling of 3749604768 in words is "three billion, seven hundred forty-nine million, six hundred four thousand, seven hundred sixty-eight".