3793649760 has 72 divisors (see below), whose sum is σ = 12945834720. Its totient is φ = 1011639552.

The previous prime is 3793649723. The next prime is 3793649767. The reversal of 3793649760 is 679463973.

3793649760 is a `hidden beast` number, since 3 + 7 + 93 + 6 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 3793649697 and 3793649706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3793649767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1315800 + ... + 1318679.

It is an arithmetic number, because the mean of its divisors is an integer number (179803260).

Almost surely, 2^3793649760 is an apocalyptic number.

3793649760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3793649760 is an abundant number, since it is smaller than the sum of its proper divisors (9152184960).

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

3793649760 is a wasteful number, since it uses less digits than its factorization.

3793649760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634500 (or 2634489 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The square root of 3793649760 is about 61592.6112451810. The cubic root of 3793649760 is about 1559.6210124724.

The spelling of 3793649760 in words is "three billion, seven hundred ninety-three million, six hundred forty-nine thousand, seven hundred sixty".