3509089056 has 216 divisors, whose sum is σ = 11088332892. Its totient is φ = 1051776000.

The previous prime is 3509089027. The next prime is 3509089061. The reversal of 3509089056 is 6509809053.

3509089056 is a `hidden beast` number, since 3 + 509 + 0 + 8 + 90 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2718579600 + 790509456 = 52140^2 + 28116^2 .

It is a super-2 number, since 2×3509089056² = 24627412005877942272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3519150 + ... + 3520146.

Almost surely, 2^3509089056 is an apocalyptic number.

3509089056 is a gapful number since it is divisible by the number (36) 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 3509089056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544166446).

3509089056 is an abundant number, since it is smaller than the sum of its proper divisors (7579243836).

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

3509089056 is a wasteful number, since it uses less digits than its factorization.

3509089056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 3509089056 is about 59237.5645684392. The cubic root of 3509089056 is about 1519.6076226343.

The spelling of 3509089056 in words is "three billion, five hundred nine million, eighty-nine thousand, fifty-six".