3089352960 has 360 divisors, whose sum is σ = 11218616640. Its totient is φ = 811634688.

The previous prime is 3089352949. The next prime is 3089352967. The reversal of 3089352960 is 692539803.

3089352960 is a `hidden beast` number, since 30 + 8 + 93 + 529 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3089352960² = 19088203422921523200, which contains 22 as substring.

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 (3089352967) 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 39 ways as a sum of consecutive naturals, for example, 8605261 + ... + 8605619.

It is an arithmetic number, because the mean of its divisors is an integer number (31162824).

Almost surely, 2^3089352960 is an apocalyptic number.

3089352960 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 3089352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5609308320).

3089352960 is an abundant number, since it is smaller than the sum of its proper divisors (8129263680).

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

3089352960 is an equidigital number, since it uses as much as digits as its factorization.

3089352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3089352960 is about 55581.9481486570. The cubic root of 3089352960 is about 1456.4285257993.

The spelling of 3089352960 in words is "three billion, eighty-nine million, three hundred fifty-two thousand, nine hundred sixty".