3793747968 has 176 divisors, whose sum is σ = 11408504160. Its totient is φ = 1245708288.

The previous prime is 3793747933. The next prime is 3793747987. The reversal of 3793747968 is 8697473973.

3793747968 is a `hidden beast` number, since 3 + 79 + 37 + 479 + 68 = 666.

Its product of digits (48009024) is a multiple of the sum of its prime divisors (72).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56623071 + ... + 56623137.

Almost surely, 2^3793747968 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 3793747968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5704252080).

3793747968 is an abundant number, since it is smaller than the sum of its proper divisors (7614756192).

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

3793747968 is an frugal number, since it uses more digits than its factorization.

3793747968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 72 counting only the distinct ones).

The product of its digits is 48009024, while the sum is 63.

The square root of 3793747968 is about 61593.4084785052. The cubic root of 3793747968 is about 1559.6344705711.

It can be divided in two parts, 37937 and 47968, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 3793747968 in words is "three billion, seven hundred ninety-three million, seven hundred forty-seven thousand, nine hundred sixty-eight".