3509072280 has 720 divisors, whose sum is σ = 14793237360. Its totient is φ = 742452480.

The previous prime is 3509072279. The next prime is 3509072317. The reversal of 3509072280 is 822709053.

It is a happy number.

3509072280 is a `hidden beast` number, since 3 + 509 + 0 + 72 + 2 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 113195865 + ... + 113195895.

It is an arithmetic number, because the mean of its divisors is an integer number (20546163).

Almost surely, 2^3509072280 is an apocalyptic number.

3509072280 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 3509072280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7396618680).

3509072280 is an abundant number, since it is smaller than the sum of its proper divisors (11284165080).

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

3509072280 is a wasteful number, since it uses less digits than its factorization.

3509072280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3509072280 is about 59237.4229689307. The cubic root of 3509072280 is about 1519.6052010202.

The spelling of 3509072280 in words is "three billion, five hundred nine million, seventy-two thousand, two hundred eighty".