3066531840 has 312 divisors, whose sum is σ = 10794820608. Its totient is φ = 805109760.

The previous prime is 3066531817. The next prime is 3066531851. The reversal of 3066531840 is 481356603.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3066531795 and 3066531804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23408575 + ... + 23408705.

It is an arithmetic number, because the mean of its divisors is an integer number (34598784).

Almost surely, 2^3066531840 is an apocalyptic number.

3066531840 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 3066531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397410304).

3066531840 is an abundant number, since it is smaller than the sum of its proper divisors (7728288768).

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

3066531840 is a wasteful number, since it uses less digits than its factorization.

3066531840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3066531840 is about 55376.2750643270. The cubic root of 3066531840 is about 1452.8334354185.

The spelling of 3066531840 in words is "three billion, sixty-six million, five hundred thirty-one thousand, eight hundred forty".