3093646920 has 256 divisors, whose sum is σ = 11817792000. Its totient is φ = 630153216.

The previous prime is 3093646889. The next prime is 3093646943. The reversal of 3093646920 is 296463903.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 311796 + ... + 321564.

It is an arithmetic number, because the mean of its divisors is an integer number (46163250).

Almost surely, 2^3093646920 is an apocalyptic number.

3093646920 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 3093646920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908896000).

3093646920 is an abundant number, since it is smaller than the sum of its proper divisors (8724145080).

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

3093646920 is a wasteful number, since it uses less digits than its factorization.

3093646920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9832 (or 9828 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The square root of 3093646920 is about 55620.5620252079. The cubic root of 3093646920 is about 1457.1029874849.

The spelling of 3093646920 in words is "three billion, ninety-three million, six hundred forty-six thousand, nine hundred twenty".