3093763680 has 384 divisors, whose sum is σ = 12454041600. Its totient is φ = 702646272.

The previous prime is 3093763669. The next prime is 3093763681. The reversal of 3093763680 is 863673903.

It is a happy number.

3093763680 is a `hidden beast` number, since 3 + 0 + 9 + 3 + 7 + 636 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3093763681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7952926 + ... + 7953314.

It is an arithmetic number, because the mean of its divisors is an integer number (32432400).

Almost surely, 2^3093763680 is an apocalyptic number.

3093763680 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 3093763680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227020800).

3093763680 is an abundant number, since it is smaller than the sum of its proper divisors (9360277920).

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

3093763680 is a wasteful number, since it uses less digits than its factorization.

3093763680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3093763680 is about 55621.6116271364. The cubic root of 3093763680 is about 1457.1213185150.

The spelling of 3093763680 in words is "three billion, ninety-three million, seven hundred sixty-three thousand, six hundred eighty".