3793360560 has 160 divisors (see below), whose sum is σ = 13386428928. Its totient is φ = 879605760.

The previous prime is 3793360559. The next prime is 3793360561. The reversal of 3793360560 is 650633973.

It is an interprime number because it is at equal distance from previous prime (3793360559) and next prime (3793360561).

It is not an unprimeable number, because it can be changed into a prime (3793360561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29484 + ... + 91956.

Almost surely, 2^3793360560 is an apocalyptic number.

3793360560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3793360560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693214464).

3793360560 is an abundant number, since it is smaller than the sum of its proper divisors (9593068368).

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

3793360560 is a wasteful number, since it uses less digits than its factorization.

3793360560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62523 (or 62517 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 42.

The square root of 3793360560 is about 61590.2635162409. The cubic root of 3793360560 is about 1559.5813801142.

The spelling of 3793360560 in words is "three billion, seven hundred ninety-three million, three hundred sixty thousand, five hundred sixty".