3578290560 has 512 divisors, whose sum is σ = 14466211200. Its totient is φ = 828112896.

The previous prime is 3578290559. The next prime is 3578290571. The reversal of 3578290560 is 650928753.

It is a happy number.

3578290560 is a `hidden beast` number, since 3 + 5 + 7 + 82 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×3578290560² = 25608326663570227200, 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 an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3818412 + ... + 3819348.

Almost surely, 2^3578290560 is an apocalyptic number.

3578290560 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 3578290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7233105600).

3578290560 is an abundant number, since it is smaller than the sum of its proper divisors (10887920640).

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

3578290560 is a wasteful number, since it uses less digits than its factorization.

3578290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 3578290560 is about 59818.8144315816. The cubic root of 3578290560 is about 1529.5318829338.

The spelling of 3578290560 in words is "three billion, five hundred seventy-eight million, two hundred ninety thousand, five hundred sixty".