3509114784 has 192 divisors, whose sum is σ = 11112837120. Its totient is φ = 947865600.

The previous prime is 3509114783. The next prime is 3509114797. The reversal of 3509114784 is 4874119053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3509114783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1374309 + ... + 1376859.

It is an arithmetic number, because the mean of its divisors is an integer number (57879360).

Almost surely, 2^3509114784 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 3509114784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5556418560).

3509114784 is an abundant number, since it is smaller than the sum of its proper divisors (7603722336).

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

3509114784 is a wasteful number, since it uses less digits than its factorization.

3509114784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 3509114784 is about 59237.7817275428. The cubic root of 3509114784 is about 1519.6113364537.

The spelling of 3509114784 in words is "three billion, five hundred nine million, one hundred fourteen thousand, seven hundred eighty-four".