3793697648 has 80 divisors (see below), whose sum is σ = 8341132800. Its totient is φ = 1658333952.

The previous prime is 3793697647. The next prime is 3793697657. The reversal of 3793697648 is 8467963973.

It is a Cunningham number, because it is equal to 61593²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3793697647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488903 + ... + 496601.

It is an arithmetic number, because the mean of its divisors is an integer number (104264160).

Almost surely, 2^3793697648 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 3793697648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170566400).

3793697648 is an abundant number, since it is smaller than the sum of its proper divisors (4547435152).

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

3793697648 is a wasteful number, since it uses less digits than its factorization.

3793697648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7846 (or 7840 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 62.

The square root of 3793697648 is about 61592.9999918822. Note that the first 5 decimals coincide. The cubic root of 3793697648 is about 1559.6275749142.

The spelling of 3793697648 in words is "three billion, seven hundred ninety-three million, six hundred ninety-seven thousand, six hundred forty-eight".