3509814672 has 640 divisors, whose sum is σ = 13510246400. Its totient is φ = 846526464.

The previous prime is 3509814667. The next prime is 3509814673. The reversal of 3509814672 is 2764189053.

3509814672 is a `hidden beast` number, since 3 + 509 + 81 + 4 + 67 + 2 = 666.

3509814672 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

3509814672 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (3509814673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27636273 + ... + 27636399.

It is an arithmetic number, because the mean of its divisors is an integer number (21109760).

It is a 1-persistent number, because it is pandigital, but 2⋅3509814672 = 7019629344 is not.

Almost surely, 2^3509814672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3509814672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755123200).

3509814672 is an abundant number, since it is smaller than the sum of its proper divisors (10000431728).

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

3509814672 is a wasteful number, since it uses less digits than its factorization.

3509814672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3509814672 is about 59243.6888790696. The cubic root of 3509814672 is about 1519.7123578512.

It can be divided in two parts, 35098 and 14672, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 3509814672 in words is "three billion, five hundred nine million, eight hundred fourteen thousand, six hundred seventy-two".